What is (16/2}{pi*(\frac{0.013)/2)^2}*10^{-3} ?

The solution to (16/2}{pi*(\frac{0.013)/2)^2}*10^{-3} is 60.27169…

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simplify (16/2}{pi(\frac{0.013)/2)^2}10^{-3}

simplify

\frac{\frac{16}{2}}{π \cdot ( \frac{0.013}{2} ) ^{2}} \cdot 1 0^{- 3}

60.27169 \dots

Solution steps

\frac{\frac{16}{2}}{π ( \frac{0.013}{2} ) ^{2}} \cdot 1 0^{- 3}

Apply exponent rule:

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

= \frac{1}{1 0 ^{3}} \cdot \frac{\frac{16}{2}}{π ( \frac{0.013}{2} ) ^{2}}

\frac{\frac{16}{2}}{π ( \frac{0.013}{2} ) ^{2}} = \frac{8}{0.00013 \dots}

= \frac{1}{1 0 ^{3}} \cdot \frac{8}{0.00013 \dots}

Multiply fractions:

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

= \frac{8 \cdot 1}{0.00013 \dots \cdot 1 0 ^{3}}

Multiply the numbers:

8 \cdot 1 = 8

= \frac{8}{1 0 ^{3} \cdot 0.00013 \dots}

Factor

8 : 2^{3}

Factor

1 0^{3} : 2^{3} \cdot 5^{3}

= \frac{2 ^{3}}{2 ^{3} \cdot 5 ^{3} \cdot 0.00013 \dots}

Cancel the common factor:

2^{3}

= \frac{1}{5 ^{3} \cdot 0.00013 \dots}

5^{3} \cdot 0.00013 \dots = 0.01659 \dots

= \frac{1}{0.01659 \dots}

Divide the numbers:

\frac{1}{0.01659 \dots} = 60.27169 \dots

= 60.27169 \dots

(6.8 \cdot 1 0^{- 5}) \cdot (0.12)

e^{- 2 \cdot l n (y)}

(\frac{m w}{πh})^{\frac{1}{2}} \cdot (\frac{πh}{m w})^{\frac{1}{2}}

43.09 \cdot 1 0^{- 6} (51)

6 a^{\circ} 2 ab

What is (16/2}{pi*(\frac{0.013)/2)^2}*10^{-3} ?
The solution to (16/2}{pi*(\frac{0.013)/2)^2}*10^{-3} is 60.27169…