What is 1/3 pi(4x)^2(21xy^2) ?

The solution to 1/3 pi(4x)^2(21xy^2) is 112pix^3y^2

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simplify 1/3 pi(4x)^2(21xy^2)

simplify

\frac{1}{3} π (4 x)^{2} (21 x y^{2})

112 π x^{3} y^{2}

Solution steps

\frac{1}{3} π (4 x)^{2} (21 x y^{2})

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(4 x)^{2} = 4^{2} x^{2}

= 4^{2} \cdot 21 π \frac{1}{3} x^{2} x y^{2}

Apply exponent rule:

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

x^{2} x = x^{2 + 1}

= \frac{1}{3} π 4^{2} \cdot 21 x^{2 + 1} y^{2}

Add the numbers:

2 + 1 = 3

= \frac{1}{3} π 4^{2} \cdot 21 x^{3} y^{2}

Multiply fractions:

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

= \frac{1 π 4 ^{2} \cdot 21 x ^{3} y ^{2}}{3}

Multiply the numbers:

1 \cdot 21 = 21

= \frac{4 ^{2} \cdot 21 π x ^{3} y ^{2}}{3}

Divide the numbers:

\frac{21}{3} = 7

= 4^{2} \cdot 7 π x^{3} y^{2}

Refine

= 112 π x^{3} y^{2}

4 \cdot e^{- 1} \cdot \frac{3 2}{64}

(7 b^{7}) (6 b) (9 b)

0.7870101 \cdot e^{- 1}

0.3 (e^{- 4})

(2.1 \cdot 1 0^{6}) (4 \cdot 1 0^{3})

What is 1/3 pi(4x)^2(21xy^2) ?
The solution to 1/3 pi(4x)^2(21xy^2) is 112pix^3y^2