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Popular >

simplify 5^20.5^{-6}

Solution

simplify

5^{2} 0. 5^{- 6}

Solution

1600

Solution steps

5^{2} \cdot 0. 5^{- 6}

5^{2} = 25

= 25 \cdot 0. 5^{- 6}

Apply exponent rule:

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

0. 5^{- 6} = \frac{1}{0. 5 ^{6}}

= 25 \cdot \frac{1}{0. 5 ^{6}}

0. 5^{6} = 0.015625

= 25 \cdot \frac{1}{0.015625}

Divide the numbers:

\frac{1}{0.015625} = 64

= 25 \cdot 64

Multiply the numbers:

25 \cdot 64 = 1600

= 1600

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Frequently Asked Questions (FAQ)

What is 5^20.5^{-6} ?
The solution to 5^20.5^{-6} is 1600