en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (pi510)(pi5^2)

Solution

simplify

(π \cdot 5 \cdot 10) \cdot (π \cdot 5^{2})

Solution

1250 π^{2}

+1

Solution steps

(π 5 \cdot 10) (π 5^{2})

Apply exponent rule:

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

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

= π 10 π 5^{1 + 2}

Add the numbers:

1 + 2 = 3

= π 10 π 5^{3}

Apply exponent rule:

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

ππ = π^{1 + 1}

= 10 π^{1 + 1} \cdot 5^{3}

Add the numbers:

1 + 1 = 2

= 10 π^{2} \cdot 5^{3}

5^{3} = 125

= 10 \cdot 125 π^{2}

Multiply the numbers:

10 \cdot 125 = 1250

= 1250 π^{2}

Popular Examples

simplify \sqrt[4]{(2x+1)^3}simplify

simplify (7w^2)(4w^2)simplify

(7 w^{2}) (4 w^{2})

expand sqrt(((ln(0.2))^2)/(pi^2+(ln(0.2))^2))expand

\frac{( ln ( 0.2 ) ) ^{2}}{π ^{2} + ( ln ( 0.2 ) ) ^{2}}

simplify sqrt(\sqrt{25a^6)}simplify

25 a^{6}

simplify e^{-3|x|}simplify

e^{- 3 ∣ x ∣}

Frequently Asked Questions (FAQ)

What is (pi*5*10)*(pi*5^2) ?
The solution to (pi*5*10)*(pi*5^2) is 1250pi^2