What is 4/3 pi(5*10^{-2}) ?

The solution to 4/3 pi(5*10^{-2}) is pi/(15)

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simplify 4/3 pi(5*10^{-2})

simplify

\frac{4}{3} π (5 \cdot 1 0^{- 2})

\frac{π}{15}

Decimal Notation

0.20943 \dots

Solution steps

\frac{4}{3} π (5 \cdot 1 0^{- 2})

Apply exponent rule:

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

= 5 π \frac{4}{3} \cdot \frac{1}{1 0 ^{2}}

Multiply fractions:

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

= \frac{4 \cdot 1 π 5}{3 \cdot 1 0 ^{2}}

Multiply the numbers:

4 \cdot 1 \cdot 5 = 20

= \frac{20 π}{1 0 ^{2} \cdot 3}

Factor

20 : 2^{2} \cdot 5

Factor

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

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

Cancel

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

= \frac{π}{3 \cdot 5}

Multiply the numbers:

3 \cdot 5 = 15

= \frac{π}{15}

(3 x^{3} y) (2 x z^{2}) (4 y^{2} z)

(4 h^{4}) (6 h^{2} j^{3})

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

6.39 \cdot 1 0^{- 5}

(c e^{x}) (c e^{x})