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Popular >

simplify 1/3pi5^2*5

Solution

simplify

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

Solution

\frac{125 π}{3}

+1

Decimal Notation

130.89969 \dots

Solution steps

\frac{1}{3} π 5^{2} \cdot 5

Apply exponent rule:

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

5^{2} \cdot 5 = 5^{2 + 1}

= \frac{1}{3} π 5^{2 + 1}

Add the numbers:

2 + 1 = 3

= \frac{1}{3} π 5^{3}

Multiply fractions:

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

= \frac{1 π 5 ^{3}}{3}

Multiply:

1 π = π

= \frac{5 ^{3} π}{3}

5^{3} = 125

= \frac{125 π}{3}

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Frequently Asked Questions (FAQ)

What is 1/3*pi*5^2*5 ?
The solution to 1/3*pi*5^2*5 is (125pi)/3