Sangeetha Pulapaka
0

STEP 1: Recall what are exponents

STEP 2: Recall the rules of exponents

https://www.onlinemathlearning.com/rules-of-exponents.html

STEP 3: Evaluate

-16^\frac{3}{4} = (-16)^\frac{3}{4} = (-16^\frac{1}{4})^{3}

Using the fractional exponent rule

(-16^\frac{1}{4})^{3} = $-\sqrt[4]{(16)^{3}}$ = $-\sqrt[4]{(2^{4})^{3}}$ = -2^{3}= -8

Skills you may want to recall:

How to find the fourth root of a number