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Popular >

simplify 5^{2^3}0.5^{-6}

Solution

simplify

5^{2^{3}} 0. 5^{- 6}

Solution

25000000

Solution steps

5^{2^{3}} \cdot 0. 5^{- 6}

5^{2^{3}} = 390625

= 390625 \cdot 0. 5^{- 6}

Apply exponent rule:

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

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

= 390625 \cdot \frac{1}{0. 5 ^{6}}

0. 5^{6} = 0.015625

= 390625 \cdot \frac{1}{0.015625}

Divide the numbers:

\frac{1}{0.015625} = 64

= 390625 \cdot 64

Multiply the numbers:

390625 \cdot 64 = 25000000

= 25000000

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Frequently Asked Questions (FAQ)

What is 5^{2^3}0.5^{-6} ?
The solution to 5^{2^3}0.5^{-6} is 25000000