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Popular >

simplify 216^{-5/3}

Solution

simplify

21 6^{- \frac{5}{3}}

Solution

\frac{1}{7776}

+1

Solution steps

21 6^{- \frac{5}{3}}

Factor the number:

216 = 6^{3}

= (6^{3})^{- \frac{5}{3}}

Apply exponent rule:

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

= 6^{3 (- \frac{5}{3})}

3 (- \frac{5}{3}) = - 5

= 6^{- 5}

Apply exponent rule:

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

6^{- 5} = \frac{1}{6 ^{5}}

= \frac{1}{6 ^{5}}

6^{5} = 7776

= \frac{1}{7776}

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Frequently Asked Questions (FAQ)

What is 216^{-5/3} ?
The solution to 216^{-5/3} is 1/7776