en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/3 pi(8h)^2h

Solution

simplify

\frac{1}{3} π (8 h)^{2} h

Solution

\frac{64 π h ^{3}}{3}

Solution steps

\frac{1}{3} π (8 h)^{2} h

Apply exponent rule:

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

(8 h)^{2} = 8^{2} h^{2}

= 8^{2} π \frac{1}{3} h^{2} h

Apply exponent rule:

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

h^{2} h = h^{2 + 1}

= \frac{1}{3} π 8^{2} h^{2 + 1}

Add the numbers:

2 + 1 = 3

= \frac{1}{3} π 8^{2} h^{3}

Multiply fractions:

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

= \frac{1 π 8 ^{2} h ^{3}}{3}

Refine

= \frac{64 π h ^{3}}{3}

Popular Examples

simplify \sqrt[4]{sqrt(5)}simplify

simplify (sqrt(x^2+x))^2 simplify

(x^{2} + x)^{2}

simplify-10^{-7}*12*10^{-6}*30/4 simplify

- 1 0^{- 7} \cdot 12 \cdot 1 0^{- 6} \cdot \frac{30}{4}

simplify (2a+2b-sqrt(2)c)(2a+2b-sqrt(2)c)simplify

(2 a + 2 b - 2 c) (2 a + 2 b - 2 c)

simplify (t^3+2)e^{-5t}simplify

(t^{3} + 2) e^{- 5 t}

Frequently Asked Questions (FAQ)

What is 1/3 pi(8h)^2h ?
The solution to 1/3 pi(8h)^2h is (64pih^3)/3