What is 2*pi*60*2500*10^{-3} ?

The solution to 2*pi*60*2500*10^{-3} is 300pi

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simplify 2pi60250010^{-3}

simplify

2 \cdot π \cdot 60 \cdot 2500 \cdot 1 0^{- 3}

300 π

Decimal Notation

942.47779 \dots

Solution steps

2 π 60 \cdot 2500 \cdot 1 0^{- 3}

Apply exponent rule:

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

= 2 \cdot 60 \cdot 2500 π \frac{1}{1 0 ^{3}}

Multiply fractions:

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

= \frac{1 \cdot 2 π 60 \cdot 2500}{1 0 ^{3}}

Multiply the numbers:

1 \cdot 2 \cdot 60 \cdot 2500 = 300000

= \frac{300000 π}{1 0 ^{3}}

Factor

300000 : 2^{5} \cdot 5^{5} \cdot 3

Factor

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

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

Cancel

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

= 2^{2} \cdot 5^{2} \cdot 3 π

2^{2} = 4

= 5^{2} \cdot 4 \cdot 3 π

5^{2} = 25

= 4 \cdot 25 \cdot 3 π

Multiply the numbers:

4 \cdot 25 \cdot 3 = 300

= 300 π

2.2 \cdot 1 0^{- 2}

(b^{5})^{0} b^{2^{2}} b^{-} 3

(3.15 \cdot 1 0^{4}) (5.15 \cdot 1 0^{- 7})

\frac{7.349 \cdot 1 0 ^{22}}{1737. 1 ^{2}} \cdot 6.67 \cdot 1 0^{- 11}

3.34 \cdot 1 0^{- 4}