What is (4pi\times 10^{-7})(1500) ?

The solution to (4pi\times 10^{-7})(1500) is (3pi)/(5000)

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simplify (4pi\times 10^{-7})(1500)

simplify

(4 π \cdot 1 0^{- 7}) (1500)

\frac{3 π}{5000}

Decimal Notation

0.00188 \dots

Solution steps

(4 π 1 0^{- 7}) (1500)

Apply exponent rule:

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

= 4 \cdot 1500 π \frac{1}{1 0 ^{7}}

Multiply fractions:

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

= \frac{1 \cdot 4 π 1500}{1 0 ^{7}}

Multiply the numbers:

1 \cdot 4 \cdot 1500 = 6000

= \frac{6000 π}{1 0 ^{7}}

Factor

6000 : 2^{4} \cdot 5^{3} \cdot 3

Factor

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

= \frac{2 ^{4} \cdot 5 ^{3} \cdot 3 π}{2 ^{7} \cdot 5 ^{7}}

Cancel

\frac{2 ^{4} \cdot 3 \cdot 5 ^{3} π}{2 ^{7} \cdot 5 ^{7}} : \frac{3 π}{5 ^{4} \cdot 2 ^{3}}

= \frac{3 π}{5 ^{4} \cdot 2 ^{3}}

5^{4} \cdot 2^{3} = 5000

= \frac{3 π}{5000}

(2 x^{3} y^{2}) (5 x^{3} y z^{2})

e x p ress \frac{p}{18 p ^{10}}

(9 x^{2 a - 4} b^{4 a + 6}) (8 x^{3 a + 2} b^{5 a + 5})

((5)^{2} + (53)^{2})^{2}

e^{- x} (- x + 1) (\frac{1}{2} x^{2} - 2 x + 1)

What is (4pi\times 10^{-7})(1500) ?
The solution to (4pi\times 10^{-7})(1500) is (3pi)/(5000)