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Popular >

simplify 216^{-2/3}

Solution

simplify

21 6^{- \frac{2}{3}}

Solution

\frac{1}{36}

+1

Decimal Notation

0.02777 \dots

Solution steps

21 6^{- \frac{2}{3}}

Factor the number:

216 = 6^{3}

= (6^{3})^{- \frac{2}{3}}

Apply exponent rule:

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

= 6^{3 (- \frac{2}{3})}

3 (- \frac{2}{3}) = - 2

= 6^{- 2}

Apply exponent rule:

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

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

= \frac{1}{6 ^{2}}

6^{2} = 36

= \frac{1}{36}

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Frequently Asked Questions (FAQ)

What is 216^{-2/3} ?
The solution to 216^{-2/3} is 1/36