en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify pi4^225pi1^225

Solution

simplify

π 4^{2} 25 π \cdot 1^{2} \cdot 25

Solution

10000 π^{2}

+1

Decimal Notation

98696.04401 \dots

Solution steps

π 4^{2} \cdot 25 π 1^{2} \cdot 25

Apply exponent rule:

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

25 \cdot 25 = 2 5^{1 + 1}

= π 4^{2} π 1^{2} \cdot 2 5^{1 + 1}

Add the numbers:

1 + 1 = 2

= π 4^{2} π 1^{2} \cdot 2 5^{2}

Apply exponent rule:

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

ππ = π^{1 + 1}

= 4^{2} π^{1 + 1} \cdot 1^{2} \cdot 2 5^{2}

Add the numbers:

1 + 1 = 2

= 4^{2} π^{2} \cdot 1^{2} \cdot 2 5^{2}

Apply rule

1^{a} = 1

1^{2} = 1

= 4^{2} \cdot 2 5^{2} \cdot 1 \cdot π^{2}

Multiply:

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

= 4^{2} \cdot 2 5^{2} π^{2}

4^{2} = 16

= 2 5^{2} \cdot 16 π^{2}

2 5^{2} = 625

= 16 \cdot 625 π^{2}

Multiply the numbers:

16 \cdot 625 = 10000

= 10000 π^{2}

Popular Examples

simplify \sqrt[4]{\sqrt[5]{x}}simplify

simplify sqrt(\sqrt{9/4)}simplify

\frac{9}{4}

simplify \sqrt[3]{\sqrt[5]{1.25}}simplify

simplify 2.1e^5*e^{(-0.07*100)}simplify

2.1 e^{5} \cdot e^{(- 0.07 \cdot 100)}

simplify pi(x^2)^2 simplify

π (x^{2})^{2}

Frequently Asked Questions (FAQ)

What is pi4^225pi*1^2*25 ?
The solution to pi4^225pi*1^2*25 is 10000pi^2