Please Help With Problem

Question

Raise the quantity in parentheses to the indicated exponent, and simply the resulting expression.

(-2/3 x^9 y^7)^3

Answer 1

Hi Jane,

This power problem involves simplifying an expression by "applying" each variable or value to the exponent shown;

The power of a pwer can be simplifoes by multiplying the exponents for each variable in your base (the numbers/variables) in the parentheses:

(-2/3 x^9 y^7)^3

First , -2/3 to the 3rd power is equivalent to -8/27 (or -2/3 * -2/3 * -2/3).

(x⁹)³ = x ^9*3 or x²⁷

(y⁷)³ = y²¹

^{Combining these gives your simplified expression:}

-8/27x²⁷y²¹