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Popular >

simplify 23*4pi10^{-7}

Solution

simplify

23 \cdot 4 π 1 0^{- 7}

Solution

\frac{23 π}{2500000}

+1

Solution steps

23 \cdot 4 π 1 0^{- 7}

Apply exponent rule:

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

= 23 \cdot 4 π \frac{1}{1 0 ^{7}}

Multiply fractions:

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

= \frac{1 \cdot 23 \cdot 4 π}{1 0 ^{7}}

Multiply the numbers:

1 \cdot 23 \cdot 4 = 92

= \frac{92 π}{1 0 ^{7}}

Factor

92 : 2^{2} \cdot 23

Factor

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

= \frac{2 ^{2} \cdot 23 π}{2 ^{7} \cdot 5 ^{7}}

Cancel

\frac{2 ^{2} \cdot 23 π}{2 ^{7} \cdot 5 ^{7}} : \frac{23 π}{5 ^{7} \cdot 2 ^{5}}

= \frac{23 π}{5 ^{7} \cdot 2 ^{5}}

5^{7} \cdot 2^{5} = 2500000

= \frac{23 π}{2500000}

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Frequently Asked Questions (FAQ)

What is 23*4pi10^{-7} ?
The solution to 23*4pi10^{-7} is (23pi)/(2500000)