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Popular >

simplify (5sqrt(3))^{-2.5}

Solution

simplify

(53)^{- 2.5}

Solution

0.00453 \dots

Solution steps

(53)^{- 2.5}

Apply exponent rule:

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

= \frac{1}{( 5 3 ) ^{2.5}}

(53)^{2.5} = 220.71232 \dots

= \frac{1}{220.71232 \dots}

Divide the numbers:

\frac{1}{220.71232 \dots} = 0.00453 \dots

= 0.00453 \dots

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Frequently Asked Questions (FAQ)

What is (5sqrt(3))^{-2.5} ?
The solution to (5sqrt(3))^{-2.5} is 0.00453…