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Popular >

simplify 4^60.4^{-8}

Solution

simplify

4^{6} 0. 4^{- 8}

Solution

6250000

Solution steps

4^{6} \cdot 0. 4^{- 8}

4^{6} = 4096

= 4096 \cdot 0. 4^{- 8}

Apply exponent rule:

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

0. 4^{- 8} = \frac{1}{0. 4 ^{8}}

= 4096 \cdot \frac{1}{0. 4 ^{8}}

0. 4^{8} = 0.00065536

= 4096 \cdot \frac{1}{0.00065536}

Divide the numbers:

\frac{1}{0.00065536} = 1525.87890 \dots

= 4096 \cdot 1525.87890 \dots

Multiply the numbers:

4096 \cdot 1525.87890 \dots = 6250000

= 6250000

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Frequently Asked Questions (FAQ)

What is 4^60.4^{-8} ?
The solution to 4^60.4^{-8} is 6250000