Write with positive exponents. Simplify if possible.
-$36 ^ { - 3 / 2 }$
A) $- \frac { 1 } { 216 }$
B) $\frac { 1 } { 216 }$
C)-216
D)216

Name: Write with positive exponents. Simplify if possible. -$36 ^ { - 3 / 2 }$ A) $- \frac { 1 } { 216 }$ B) $\frac { 1 } { 216 }$ C)-216 D)216
Brand: Quizplus
Rating: 4.8 (33 reviews)

Question

Quizplus · Accepted Answer

To write $36^{-3/2}$ with positive exponents and simplify, we first recognize that $36 = 6^2$. Thus, $36^{-3/2} = (6^2)^{-3/2} = 6^{-3} = \frac{1}{6^3} = \frac{1}{216}$.

Write with Positive Exponents 36−3/236 ^ { - 3 / 2 }36−3/2

Write with Positive Exponents $36 ^ { - 3 / 2 }$