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Popular >

simplify (0.03)^6(0.0027)^{-3}

Solution

simplify

(0.03)^{6} (0.0027)^{- 3}

Solution

0.03703 \dots

Solution steps

(0.03)^{6} (0.0027)^{- 3}

Apply exponent rule:

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

= 0.0 3^{6} \cdot \frac{1}{0.002 7 ^{3}}

Multiply fractions:

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

= \frac{1 \cdot 0.0 3 ^{6}}{0.002 7 ^{3}}

Multiply:

1 \cdot 0.0 3^{6} = 0.0 3^{6}

= \frac{0.0 3 ^{6}}{0.002 7 ^{3}}

0.0 3^{6} = 7.29 E - 10

= \frac{7.29 E - 10}{0.002 7 ^{3}}

0.002 7^{3} = 1.9683 E - 8

= \frac{7.29 E - 10}{1.9683 E - 8}

Divide the numbers:

\frac{7.29 E - 10}{1.9683 E - 8} = 0.03703 \dots

= 0.03703 \dots

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Frequently Asked Questions (FAQ)

What is (0.03)^6(0.0027)^{-3} ?
The solution to (0.03)^6(0.0027)^{-3} is 0.03703…