What is (0.21^2)/((pi/4 (0.91)^2)^2) ?

The solution to (0.21^2)/((pi/4 (0.91)^2)^2) is 0.10425…

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simplify (0.21^2)/((pi/4 (0.91)^2)^2)

simplify

\frac{0.2 1 ^{2}}{( \frac{π}{4} ( 0.91 ) ^{2} ) ^{2}}

0.10425 \dots

Solution steps

\frac{0.2 1 ^{2}}{( \frac{π}{4} ( 0.91 ) ^{2} ) ^{2}}

Apply exponent rule:

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

\frac{0.2 1 ^{2}}{( \frac{π}{4} \cdot 0.9 1 ^{2} ) ^{2}} = (\frac{0.21}{\frac{π}{4} \cdot 0.9 1 ^{2}})^{2}

= (\frac{0.21}{\frac{π}{4} \cdot 0.9 1 ^{2}})^{2}

\frac{0.21}{\frac{π}{4} \cdot 0.9 1 ^{2}} = \frac{0.21}{0.65038 \dots}

= (\frac{0.21}{0.65038 \dots})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{0.2 1 ^{2}}{0.65038 \dots ^{2}}

0.2 1^{2} = 0.0441

= \frac{0.0441}{0.65038 \dots ^{2}}

0.65038 \dots^{2} = 0.42300 \dots

= \frac{0.0441}{0.42300 \dots}

Divide the numbers:

\frac{0.0441}{0.42300 \dots} = 0.10425 \dots

= 0.10425 \dots

e^{- 2 x} (x^{2} - 2 x)

1000 e^{- 0.022 (10)}

(1.8 \cdot 1 0^{- 5}) \cdot (0.2 - x)

e^{- 3 \cdot 3}

What is (0.21^2)/((pi/4 (0.91)^2)^2) ?
The solution to (0.21^2)/((pi/4 (0.91)^2)^2) is 0.10425…