What is (0.51^2)/((pi/4 (0.14)^2)^2) ?

The solution to (0.51^2)/((pi/4 (0.14)^2)^2) is 1097.61098…

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simplify (0.51^2)/((pi/4 (0.14)^2)^2)

simplify

\frac{0.5 1 ^{2}}{( \frac{π}{4} ( 0.14 ) ^{2} ) ^{2}}

1097.61098 \dots

Solution steps

\frac{0.5 1 ^{2}}{( \frac{π}{4} ( 0.14 ) ^{2} ) ^{2}}

Apply exponent rule:

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

\frac{0.5 1 ^{2}}{( \frac{π}{4} \cdot 0.1 4 ^{2} ) ^{2}} = (\frac{0.51}{\frac{π}{4} \cdot 0.1 4 ^{2}})^{2}

= (\frac{0.51}{\frac{π}{4} \cdot 0.1 4 ^{2}})^{2}

\frac{0.51}{\frac{π}{4} \cdot 0.1 4 ^{2}} = \frac{0.51}{0.01539 \dots}

= (\frac{0.51}{0.01539 \dots})^{2}

Apply exponent rule:

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

= \frac{0.5 1 ^{2}}{0.01539 \dots ^{2}}

0.5 1^{2} = 0.2601

= \frac{0.2601}{0.01539 \dots ^{2}}

0.01539 \dots^{2} = 0.00023 \dots

= \frac{0.2601}{0.00023 \dots}

Divide the numbers:

\frac{0.2601}{0.00023 \dots} = 1097.61098 \dots

= 1097.61098 \dots

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What is (0.51^2)/((pi/4 (0.14)^2)^2) ?
The solution to (0.51^2)/((pi/4 (0.14)^2)^2) is 1097.61098…