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Popular >

simplify 7^80.7^{-3}

Solution

simplify

7^{8} 0. 7^{- 3}

Solution

16807000

Solution steps

7^{8} \cdot 0. 7^{- 3}

Apply exponent rule:

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

= 7^{8} \cdot \frac{1}{0. 7 ^{3}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 7 ^{8}}{0. 7 ^{3}}

Multiply:

1 \cdot 7^{8} = 7^{8}

= \frac{7 ^{8}}{0. 7 ^{3}}

7^{8} = 5764801

= \frac{5764801}{0. 7 ^{3}}

0. 7^{3} = 0.343

= \frac{5764801}{0.343}

Divide the numbers:

\frac{5764801}{0.343} = 16807000

= 16807000

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Frequently Asked Questions (FAQ)

What is 7^80.7^{-3} ?
The solution to 7^80.7^{-3} is 16807000