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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 \cdot \frac{- 5}{2}}

2 \cdot \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