Simplify the expression. $- 16 ^ { 3 / 2 }$
A) $- 192$
B) 67
C) $- 64$
D) $- 66$
E)$-128$
F) $- 24$

Question

Quizplus · Accepted Answer

$-16^{3/2} = -16^{(2/2)*3/2} = -16^{(3/4)*2} = -16^{3/4 * 2/1} = -16^{3/2}$
Using the exponent rule, $(-a)^{m/n} = -(a^{m/n})$, where a is any positive number, m and n are integers with no common factors, and n is odd, we can simplify the expression as follows:
$-16 ^ { 3 / 2 } = - (16 ^ { 3 / 2 }) = - (16 * 16 * 16) ^ { 1 / 2 } = - (4096) ^ {1/2} = - 64$ 
Therefore, the answer is C.

Simplify the Expression −163/2- 16 ^ { 3 / 2 }−163/2

Simplify the Expression $- 16 ^ { 3 / 2 }$