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Popular >

simplify 16^{-5/2}

Solution

simplify

1 6^{- \frac{5}{2}}

Solution

\frac{1}{1024}

+1

Decimal Notation

0.0009765625

Solution steps

1 6^{- \frac{5}{2}}

Factor the number:

16 = 4^{2}

= (4^{2})^{- \frac{5}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 4^{2 (- \frac{5}{2})}

2 (- \frac{5}{2}) = - 5

= 4^{- 5}

Apply exponent rule:

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

4^{- 5} = \frac{1}{4 ^{5}}

= \frac{1}{4 ^{5}}

4^{5} = 1024

= \frac{1}{1024}

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Frequently Asked Questions (FAQ)

What is 16^{-5/2} ?
The solution to 16^{-5/2} is 1/1024