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Q: Why do you subtract exponents when dividing powers of the same base?
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How do you simplify exponents or powers in algebra?

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

When dividing two numbers with the same base?

i guess u subtract the exponents

What is a rule that works for multiplying powers of the same base in 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).

What is the quotients rule of exponents in Algebra?

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

How do you divide a exponent?

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.

When dividing two terms with the same base what do you do to the exponents?

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

What is 10 to the fourth power multiplied by 10 to the seventh power?

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.

What are the laws of exponents for division?

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

Can divide powers with the same base by subtracting the exponents?

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

What does it mean to multiply two powers having the same base and add 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.

When do add exponents?

when you multiply powers with the same base.

What are numbers expressed using exponents called?

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.