Q: Why do you subtract exponents when dividing powers of the same base?

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When multiplying exponents with the same base add them: x^3*x^2 = x^5 When dividing exponents with the same base subtract them: x^3/x^2 = x^1 or x

The quotient rule of exponents in Algebra states that dividing expressions with the same base you subtract the exponents. However, the base cannot be equal to zero.The above statement follows this rule in Algebra:xm/xn = xm-n;x cannot equal 0Here's an example:x15/x5 = x15-5 = x10

If you have the same base on both of the exponents that you are dividing, all you have to do is subtract the exponent. For example if I have a problem like: 66/ 63, your answer will be 63.

10^4 * 10^7 = 10^11 When multiplying exponents with the same base (in this case, 10), you add the exponents (4+7). If you were dividing, you'd subtract the exponents.

This is one of the laws of exponents, which states that xa * xb = x(a+b) The base is x, and the two powers (or exponents) are a and b.

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When multiplying exponents with the same base add them: x^3*x^2 = x^5 When dividing exponents with the same base subtract them: x^3/x^2 = x^1 or x

i guess u subtract the exponents

To multiply powers with the same base, you add the exponents. For example, 10^2 x 10^3 = 10^5. Similarly, to divide powers with the same base, you subtract the exponents. For example, 10^3 / 10^5 = 10^(-2).

The quotient rule of exponents in Algebra states that dividing expressions with the same base you subtract the exponents. However, the base cannot be equal to zero.The above statement follows this rule in Algebra:xm/xn = xm-n;x cannot equal 0Here's an example:x15/x5 = x15-5 = x10

If you have the same base on both of the exponents that you are dividing, all you have to do is subtract the exponent. For example if I have a problem like: 66/ 63, your answer will be 63.

You would subtract the exponents. For instance, when solving (x-3)5/(x-3)2, you would find an answer of (x-3)3.

10^4 * 10^7 = 10^11 When multiplying exponents with the same base (in this case, 10), you add the exponents (4+7). If you were dividing, you'd subtract the exponents.

If the base is the same, you can subtract the exponents. For example (using "^" por powers):10^5 / 10^2 = 10^310^5 / 10^(-4) = 10^9

Yes, you can subtract the exponents, for example 5^3/5^2 = 5^3-2 = 5^1 Thats the same as 125/25 = 5

This is one of the laws of exponents, which states that xa * xb = x(a+b) The base is x, and the two powers (or exponents) are a and b.

when you multiply powers with the same base.

Numbers expressed using exponents are called powers. When writing a number expressed as an exponent, the number is called the base. For example, in 23 two is the base.