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Popular >

simplify \sqrt[-4]{16^7}

Solution

simplify

Solution

\frac{1}{128}

+1

Decimal Notation

0.0078125

Solution steps

Apply radical rule:

= (1 6^{7})^{\frac{1}{- 4}}

Apply exponent rule:

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

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

7 \cdot \frac{1}{- 4} = - \frac{7}{4}

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

Apply exponent rule:

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

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

1 6^{\frac{7}{4}} = 128

= \frac{1}{128}

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Frequently Asked Questions (FAQ)

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