What Is 9 To The 4Th Power? | Homework.Study.Com - House Cleaning Services In Richardson Tx

I need to plug in the value −3 for every instance of x in the polynomial they've given me, remembering to be careful with my parentheses, the powers, and the "minus" signs: 2(−3)3 − (−3)2 − 4(−3) + 2. The numerical portion of the leading term is the 2, which is the leading coefficient. Evaluating Exponents and Powers. Calculating exponents and powers of a number is actually a really simple process once we are familiar with what an exponent or power represents. Prove that every prime number above 5 when raised to the power of 4 will always end in a 1. n is a prime number. By now, you should be familiar with variables and exponents, and you may have dealt with expressions like 3x 4 or 6x. The "poly-" prefix in "polynomial" means "many", from the Greek language. What is 9 x 10 to the 4th power. The first term has an exponent of 2; the second term has an "understood" exponent of 1 (which customarily is not included); and the last term doesn't have any variable at all, so exponents aren't an issue. The exponent is the number of times to multiply 10 by itself, which in this case is 4 times. Then click the button and scroll down to select "Find the Degree" (or scroll a bit further and select "Find the Degree, Leading Term, and Leading Coefficient") to compare your answer to Mathway's. This polynomial has four terms, including a fifth-degree term, a third-degree term, a first-degree term, and a term containing no variable, which is the constant term. Question: What is 9 to the 4th power?

1. What is 9 to the 4th power supply
2. What is 8 to the 4th power
3. What is 9 x 10 to the 4th power
4. 3 to the 4th power + 9
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What Is 9 To The 4Th Power Supply

I suppose, technically, the term "polynomial" should refer only to sums of many terms, but "polynomial" is used to refer to anything from one term to the sum of a zillion terms. So What is the Answer? 2(−27) − (+9) + 12 + 2. Now that we've explained the theory behind this, let's crunch the numbers and figure out what 10 to the 4th power is: 10 to the power of 4 = 104 = 10, 000. What is 9 to the 4th power supply. The highest-degree term is the 7x 4, so this is a degree-four polynomial. That might sound fancy, but we'll explain this with no jargon!

What is 10 to the 4th Power?. In particular, for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions. Let's get our terms nailed down first and then we can see how to work out what 10 to the 4th power is. So we mentioned that exponentation means multiplying the base number by itself for the exponent number of times. Learn more about this topic: fromChapter 8 / Lesson 3. AS paper: Prove every prime > 5, when raised to 4th power, ends in 1. As in, if you multiply a length by a width (of, say, a room) to find the area, the units on the area will be raised to the second power. Polynomial are sums (and differences) of polynomial "terms".

What Is 8 To The 4Th Power

The second term is a "first degree" term, or "a term of degree one". Enter your number and power below and click calculate. Polynomials are usually written in descending order, with the constant term coming at the tail end. PLEASE HELP! MATH Simplify completely the quantity 6 times x to the 4th power plus 9 times x to the - Brainly.com. What is an Exponentiation? We really appreciate your support! So basically, you'll either see the exponent using superscript (to make it smaller and slightly above the base number) or you'll use the caret symbol (^) to signify the exponent.

When evaluating, always remember to be careful with the "minus" signs! Accessed 12 March, 2023. There are names for some of the polynomials of higher degrees, but I've never heard of any names being used other than the ones I've listed above. A plain number can also be a polynomial term. Try the entered exercise, or type in your own exercise. Note: Some instructors will count an answer wrong if the polynomial's terms are completely correct but are not written in descending order. This lesson describes powers and roots, shows examples of them, displays the basic properties of powers, and shows the transformation of roots into powers. What is 8 to the 4th power. Retrieved from Exponentiation Calculator. If you made it this far you must REALLY like exponentiation!

What Is 9 X 10 To The 4Th Power

In any polynomial, the degree of the leading term tells you the degree of the whole polynomial, so the polynomial above is a "second-degree polynomial", or a "degree-two polynomial". Notice also that the powers on the terms started with the largest, being the 2, on the first term, and counted down from there. Let's look at that a little more visually: 10 to the 4th Power = 10 x... x 10 (4 times). What is 9 to the 4th power? | Homework.Study.com. There is a term that contains no variables; it's the 9 at the end. If there is no number multiplied on the variable portion of a term, then (in a technical sense) the coefficient of that term is 1. Yes, the prefix "quad" usually refers to "four", as when an atv is referred to as a "quad bike", or a drone with four propellers is called a "quad-copter". So you want to know what 10 to the 4th power is do you? For instance, the power on the variable x in the leading term in the above polynomial is 2; this means that the leading term is a "second-degree" term, or "a term of degree two". There is no constant term. The 6x 2, while written first, is not the "leading" term, because it does not have the highest degree.

When we talk about exponentiation all we really mean is that we are multiplying a number which we call the base (in this case 10) by itself a certain number of times. Hi, there was this question on my AS maths paper and me and my class cannot agree on how to answer it... it went like this. Answer and Explanation: 9 to the 4th power, or 94, is 6, 561. I don't know if there are names for polynomials with a greater numbers of terms; I've never heard of any names other than the three that I've listed. To find x to the nth power, or x n, we use the following rule: - x n is equal to x multiplied by itself n times.

3 To The 4Th Power + 9

For polynomials, however, the "quad" in "quadratic" is derived from the Latin for "making square". Then click the button to compare your answer to Mathway's. Random List of Exponentiation Examples. Another word for "power" or "exponent" is "order". For an expression to be a polynomial term, any variables in the expression must have whole-number powers (or else the "understood" power of 1, as in x 1, which is normally written as x). The coefficient of the leading term (being the "4" in the example above) is the "leading coefficient". Note: If one were to be very technical, one could say that the constant term includes the variable, but that the variable is in the form " x 0 ". When the terms are written so the powers on the variables go from highest to lowest, this is called being written "in descending order". Because there is no variable in this last term, it's value never changes, so it is called the "constant" term. Here are some random calculations for you: According to question: 6 times x to the 4th power =. In this article we'll explain exactly how to perform the mathematical operation called "the exponentiation of 10 to the power of 4". There are a number of ways this can be expressed and the most common ways you'll see 10 to the 4th shown are: - 104. Each piece of the polynomial (that is, each part that is being added) is called a "term".

The three terms are not written in descending order, I notice. The variable having a power of zero, it will always evaluate to 1, so it's ignored because it doesn't change anything: 7x 0 = 7(1) = 7. 12x over 3x.. On dividing we get,. If anyone can prove that to me then thankyou. I'll plug in a −2 for every instance of x, and simplify: (−2)5 + 4(−2)4 − 9(−2) + 7. Here is a typical polynomial: Notice the exponents (that is, the powers) on each of the three terms. Step-by-step explanation: Given: quantity 6 times x to the 4th power plus 9 times x to the 2nd power plus 12 times x all over 3 times x. The caret is useful in situations where you might not want or need to use superscript. Polynomials are sums of these "variables and exponents" expressions.

If the variable in a term is multiplied by a number, then this number is called the "coefficient" (koh-ee-FISH-int), or "numerical coefficient", of the term. However, the shorter polynomials do have their own names, according to their number of terms. 9 times x to the 2nd power =. Well, it makes it much easier for us to write multiplications and conduct mathematical operations with both large and small numbers when you are working with numbers with a lot of trailing zeroes or a lot of decimal places.

So prove n^4 always ends in a 1. This polynomial has three terms: a second-degree term, a fourth-degree term, and a first-degree term. Why do we use exponentiations like 104 anyway?

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