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Popular >

simplify 4pi*10^{-7}(5)

Solution

simplify

4 π \cdot 1 0^{- 7} (5)

Solution

\frac{π}{500000}

+1

Solution steps

4 π 1 0^{- 7} (5)

Apply exponent rule:

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

= 4 \cdot 5 π \frac{1}{1 0 ^{7}}

Multiply fractions:

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

= \frac{1 \cdot 4 π 5}{1 0 ^{7}}

Multiply the numbers:

1 \cdot 4 \cdot 5 = 20

= \frac{20 π}{1 0 ^{7}}

Factor

20 : 2^{2} \cdot 5

Factor

1 0^{7} : 2^{7} \cdot 5^{7}

= \frac{2 ^{2} \cdot 5 π}{2 ^{7} \cdot 5 ^{7}}

Cancel

\frac{2 ^{2} \cdot 5 π}{2 ^{7} \cdot 5 ^{7}} : \frac{π}{5 ^{6} \cdot 2 ^{5}}

= \frac{π}{5 ^{6} \cdot 2 ^{5}}

5^{6} \cdot 2^{5} = 500000

= \frac{π}{500000}

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Frequently Asked Questions (FAQ)

What is 4pi*10^{-7}(5) ?
The solution to 4pi*10^{-7}(5) is pi/(500000)