(a/b)^m = a^m b^m

Question

what rule of math is this

Answer 1

This is an example of the exponentiation rule known as the Power of a Quotient Rule.

Answer 2

(a^m)^n = a^mn
what rule of math is this

Answer 3

This is an example of the exponentiation rule known as the Power of a Power Rule.

Answer 4

a^m x a^n = a ^ m +n
what rule of math is this

Answer 5

This is an example of the exponentiation rule known as the Product of Powers Rule.

Answer 6

solve and leave in exponential form : 3^7 * 3^ -9 =

Answer 7

To solve the expression 3^7 * 3^(-9), we can apply the Product of Powers Rule, which states that when we multiply two exponential expressions with the same base, we add their exponents.

So, applying the rule:

3^7 * 3^(-9) = 3^(7 + (-9))

Simplifying the exponent, we have:

3^(7 - 9) = 3^(-2)

Therefore, 3^7 * 3^(-9) simplifies to 3^(-2) as the final answer in exponential form.