What is simplify-4(2.03)^3(0.9)^{-5} ?

The solution to simplify-4(2.03)^3(0.9)^{-5} is -56.66769…

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simplify-4(2.03)^3(0.9)^{-5}

simplify

- 4 (2.03)^{3} (0.9)^{- 5}

- 56.66769 \dots

Solution steps

- 4 (2.03)^{3} (0.9)^{- 5}

Apply exponent rule:

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

= - 4 \cdot 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 4 \cdot 2.0 3 ^{3}}{0. 9 ^{5}}

Multiply the numbers:

1 \cdot 4 = 4

= - \frac{4 \cdot 2.0 3 ^{3}}{0. 9 ^{5}}

4 \cdot 2.0 3^{3} = 33.461708

= - \frac{33.461708}{0. 9 ^{5}}

0. 9^{5} = 0.59049

= - \frac{33.461708}{0.59049}

Divide the numbers:

\frac{33.461708}{0.59049} = 56.66769 \dots

= - 56.66769 \dots

21600 \cdot 1.6 \cdot 1 0^{- 19}

2. 5^{2} \cdot e^{- 2.5}

13.86 x 1 0^{- 6} m^{2}

0.12 \cdot 1 0^{- 6}

What is simplify-4(2.03)^3(0.9)^{-5} ?
The solution to simplify-4(2.03)^3(0.9)^{-5} is -56.66769…