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Popular >

simplify 1296^{-1/4}

Solution

simplify

129 6^{- \frac{1}{4}}

Solution

\frac{1}{6}

+1

Decimal

0.16666 \dots

Solution steps

129 6^{- \frac{1}{4}}

Factor the number:

1296 = 6^{4}

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

Apply exponent rule:

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

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

4 (- \frac{1}{4}) = - 1

= 6^{- 1}

Apply exponent rule:

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

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

= \frac{1}{6}

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Frequently Asked Questions (FAQ)

What is 1296^{-1/4} ?
The solution to 1296^{-1/4} is 1/6