What is 3(2.03)^2(0.9)^{-4}(0.03) ?

The solution to 3(2.03)^2(0.9)^{-4}(0.03) is 0.56528…

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simplify 3(2.03)^2(0.9)^{-4}(0.03)

simplify

3 (2.03)^{2} (0.9)^{- 4} (0.03)

0.56528 \dots

Solution steps

3 (2.03)^{2} (0.9)^{- 4} (0.03)

Apply exponent rule:

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

= 3 \cdot 0.03 \cdot 2.0 3^{2} \cdot \frac{1}{0. 9 ^{4}}

Multiply fractions:

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

= 0.03 \cdot \frac{1 \cdot 3 \cdot 2.0 3 ^{2}}{0. 9 ^{4}}

\frac{1 \cdot 3 \cdot 2.0 3 ^{2}}{0. 9 ^{4}} = 18.84270 \dots

= 0.03 \cdot 18.84270 \dots

Multiply the numbers:

0.03 \cdot 18.84270 \dots = 0.56528 \dots

= 0.56528 \dots

e^{- 0.54539}

(3 a^{2}) (5 a^{6})

(1.6 \cdot 1 0^{- 19}) \cdot 100

85 (0.95)^{- 5}

\frac{1 ^{2 x}}{4 ^{2 x}}

What is 3(2.03)^2(0.9)^{-4}(0.03) ?
The solution to 3(2.03)^2(0.9)^{-4}(0.03) is 0.56528…