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Popular >

simplify 343^{-5/3}

Solution

simplify

34 3^{- \frac{5}{3}}

Solution

\frac{1}{16807}

+1

Decimal Notation

0.00005 \dots

Solution steps

34 3^{- \frac{5}{3}}

Factor the number:

343 = 7^{3}

= (7^{3})^{- \frac{5}{3}}

Apply exponent rule:

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

= 7^{3 (- \frac{5}{3})}

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

= 7^{- 5}

Apply exponent rule:

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

7^{- 5} = \frac{1}{7 ^{5}}

= \frac{1}{7 ^{5}}

7^{5} = 16807

= \frac{1}{16807}

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Frequently Asked Questions (FAQ)

What is 343^{-5/3} ?
The solution to 343^{-5/3} is 1/16807