What is 4pi(4)^2((-13)/(30)) ?

The solution to 4pi(4)^2((-13)/(30)) is -(416pi)/(15)

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simplify 4pi(4)^2((-13)/(30))

simplify

4 π (4)^{2} (\frac{- 13}{30})

- \frac{416 π}{15}

Decimal Notation

- 87.12683 \dots

Solution steps

4 π (4)^{2} (\frac{- 13}{30})

Apply exponent rule:

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

4 \cdot 4^{2} = 4^{1 + 2}

= π 4^{1 + 2} \cdot \frac{- 13}{30}

Add the numbers:

1 + 2 = 3

= π 4^{3} \cdot \frac{- 13}{30}

Apply the fraction rule:

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

= 4^{3} π (- \frac{13}{30})

Remove parentheses:

(- a) = - a

= - π 4^{3} \cdot \frac{13}{30}

Multiply fractions:

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

= - \frac{13 π 4 ^{3}}{30}

Cancel

\frac{13 π 4 ^{3}}{30} : \frac{2 ^{5} \cdot 13 π}{3 \cdot 5}

= - \frac{2 ^{5} \cdot 13 π}{3 \cdot 5}

Multiply the numbers:

3 \cdot 5 = 15

= - \frac{2 ^{5} \cdot 13 π}{15}

2^{5} \cdot 13 π = 416 π

= - \frac{416 π}{15}

4.5 x 1 0^{- 7} minnm

248 (200)^{- 0.61} (50)

\frac{( x - 4 ) ^{2}}{( x + 4 ) ^{2}}

1000000 (1.06)^{- 100}

\frac{1 + b}{1 - b}

What is 4pi(4)^2((-13)/(30)) ?
The solution to 4pi(4)^2((-13)/(30)) is -(416pi)/(15)