Question

My mom needs help it's negative exponets it's 5x^-3y^4)^-3 Please explain step by step my mom has the chest sheet

but she doesn't understand why the answer is 81 at the bottom the answer is x9/125y^12

Answer 1

x^9

----------------

125 y^12

Explanation:

(5x^-3 y^4)^-3

We know that (ab)^c can be split into a^ * b^c

5^-3 *x^-3 ^-3* y^4 ^-3

We also know that a^b^c = a^ (b*c)

5^-3 *x^(-3 *-3) * y^(4 *-3)

5^-3 *x^(9) * y^(-12)

We know that negative exponents in the numerator move it to the denominator. The exponent stays the same except for the negative.

1/5^3 * x^9 * 1/ y^12

We know that 5^3 = 125

Rearranging the order

x^9

----------------

125 y^12