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Popular >

simplify 1/3pi4^2*4

Solution

simplify

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

Solution

\frac{64 π}{3}

+1

Decimal Notation

67.02064 \dots

Solution steps

\frac{1}{3} π 4^{2} \cdot 4

Apply exponent rule:

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

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

= \frac{1}{3} π 4^{2 + 1}

Add the numbers:

2 + 1 = 3

= \frac{1}{3} π 4^{3}

Multiply fractions:

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

= \frac{1 π 4 ^{3}}{3}

Multiply:

1 π = π

= \frac{4 ^{3} π}{3}

4^{3} = 64

= \frac{64 π}{3}

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Frequently Asked Questions (FAQ)

What is 1/3*pi*4^2*4 ?
The solution to 1/3*pi*4^2*4 is (64pi)/3