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Popular >

simplify 16^{-7/4}

Solution

simplify

1 6^{- \frac{7}{4}}

Solution

\frac{1}{128}

+1

Decimal

0.0078125

Solution steps

1 6^{- \frac{7}{4}}

Factor the number:

16 = 2^{4}

= (2^{4})^{- \frac{7}{4}}

Apply exponent rule:

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

= 2^{4 (- \frac{7}{4})}

4 (- \frac{7}{4}) = - 7

= 2^{- 7}

Apply exponent rule:

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

2^{- 7} = \frac{1}{2 ^{7}}

= \frac{1}{2 ^{7}}

2^{7} = 128

= \frac{1}{128}

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simplify 28p^2(q^4)/(\frac{4pq^4){5r}}simplify

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Frequently Asked Questions (FAQ)

What is 16^{-7/4} ?
The solution to 16^{-7/4} is 1/128