What is (3*10^{-4})(4pi(22^2)) ?

The solution to (3*10^{-4})(4pi(22^2)) is (363pi)/(625)

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simplify (3*10^{-4})(4pi(22^2))

simplify

(3 \cdot 1 0^{- 4}) (4 π (2 2^{2}))

\frac{363 π}{625}

Decimal Notation

1.82463 \dots

Solution steps

(3 \cdot 1 0^{- 4}) (4 π (2 2^{2}))

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 3 \cdot 4 = 12

= \frac{2 2 ^{2} \cdot 12 π}{1 0 ^{4}}

Factor

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

Factor

1 0^{4} : 2^{4} \cdot 5^{4}

Factor

12 : 2^{2} \cdot 3

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

2^{2} \cdot 3 π 2^{2} \cdot 1 1^{2} = 3 π 2^{4} \cdot 1 1^{2}

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

Cancel the common factor:

2^{4}

= \frac{1 1 ^{2} \cdot 3 π}{5 ^{4}}

1 1^{2} \cdot 3 π = 363 π

= \frac{363 π}{5 ^{4}}

5^{4} = 625

= \frac{363 π}{625}

6.81 \cdot 1 0^{- 4}

(0.03 \cdot 1 0^{- 2}) (9.81)

a (x - 1)^{2} (x + 1)^{2}

\frac{( x - 2 ) ^{2}}{x ^{2}}

\frac{( e ^{x + 5} )}{e ^{5}}

What is (3*10^{-4})(4pi(22^2)) ?
The solution to (3*10^{-4})(4pi(22^2)) is (363pi)/(625)