What is (2pi*60)(10*10^{-9}) ?

The solution to (2pi*60)(10*10^{-9}) is (3pi)/(2500000)

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simplify (2pi60)(1010^{-9})

simplify

(2 π \cdot 60) (10 \cdot 1 0^{- 9})

\frac{3 π}{2500000}

Solution steps

(2 π 60) (10 \cdot 1 0^{- 9})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

10 \cdot 1 0^{- 9} = 1 0^{1 - 9}

= 2 π 60 \cdot 1 0^{1 - 9}

Subtract the numbers:

1 - 9 = - 8

= 2 π 60 \cdot 1 0^{- 8}

Apply exponent rule:

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

1 0^{- 8} = \frac{1}{1 0 ^{8}}

= 2 \cdot 60 π \frac{1}{1 0 ^{8}}

Multiply fractions:

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

= \frac{1 \cdot 2 π 60}{1 0 ^{8}}

Multiply the numbers:

1 \cdot 2 \cdot 60 = 120

= \frac{120 π}{1 0 ^{8}}

Factor

120 : 2^{3} \cdot 3 \cdot 5

Factor

1 0^{8} : 2^{8} \cdot 5^{8}

= \frac{2 ^{3} \cdot 3 \cdot 5 π}{2 ^{8} \cdot 5 ^{8}}

Cancel

\frac{2 ^{3} \cdot 3 \cdot 5 π}{2 ^{8} \cdot 5 ^{8}} : \frac{3 π}{5 ^{7} \cdot 2 ^{5}}

= \frac{3 π}{5 ^{7} \cdot 2 ^{5}}

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

= \frac{3 π}{2500000}

(- 1)^{3} e^{(- 1)}

6.23 \cdot 1 0^{- 10}

3 x^{2} g^{3} (6 x^{4} g^{4})

\frac{2 x}{5 y}

(8^{-})^{- 4}

What is (2pi*60)(10*10^{-9}) ?
The solution to (2pi*60)(10*10^{-9}) is (3pi)/(2500000)