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Popular >

simplify (r^2)^{-3/2}

Solution

simplify

(r^{2})^{- \frac{3}{2}}

Solution

\frac{1}{r ^{3}}

Solution steps

(r^{2})^{- \frac{3}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= r^{2 (- \frac{3}{2})}

2 (- \frac{3}{2}) = - 3

= r^{- 3}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

r^{- 3} = \frac{1}{r ^{3}}

= \frac{1}{r ^{3}}

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Frequently Asked Questions (FAQ)

What is (r^2)^{-3/2} ?
The solution to (r^2)^{-3/2} is 1/(r^3)