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Popular >

simplify (2.03)^3(0.9)^{-5}

Solution

simplify

(2.03)^{3} (0.9)^{- 5}

Solution

14.16692 \dots

Solution steps

(2.03)^{3} (0.9)^{- 5}

Apply exponent rule:

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

= 2.0 3^{3} \cdot \frac{1}{0. 9 ^{5}}

Multiply fractions:

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

= \frac{1 \cdot 2.0 3 ^{3}}{0. 9 ^{5}}

Multiply:

1 \cdot 2.0 3^{3} = 2.0 3^{3}

= \frac{2.0 3 ^{3}}{0. 9 ^{5}}

2.0 3^{3} = 8.365427

= \frac{8.365427}{0. 9 ^{5}}

0. 9^{5} = 0.59049

= \frac{8.365427}{0.59049}

Divide the numbers:

\frac{8.365427}{0.59049} = 14.16692 \dots

= 14.16692 \dots

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Frequently Asked Questions (FAQ)

What is (2.03)^3(0.9)^{-5} ?
The solution to (2.03)^3(0.9)^{-5} is 14.16692…