en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(25^x)

Solution

simplify

2 5^{x}

Solution

5^{x}

Solution steps

2 5^{x}

Apply radical rule:

a = a^{\frac{1}{2}}

= (2 5^{x})^{\frac{1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 2 5^{x \frac{1}{2}}

Simplify

x \frac{1}{2} : \frac{x}{2}

= 2 5^{\frac{x}{2}}

Factor the number:

25 = 5^{2}

= (5^{2})^{\frac{x}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

(5^{2})^{\frac{x}{2}} = 5^{2 \cdot \frac{x}{2}} = 5^{x}

= 5^{x}

Popular Examples

simplify 518.2*6^{-0.7082}simplify

518.2 \cdot 6^{- 0.7082}

simplify sqrt(x)\sqrt[16]{x^7}simplify

simplify sqrt((1-v^2)^3)simplify

(1 - v^{2})^{3}

simplify sqrt(l)sqrt(3)lsqrt(x)simplify

l 3 l x

simplify 9.133*10^{-2}simplify

9.133 \cdot 1 0^{- 2}

Frequently Asked Questions (FAQ)

What is sqrt(25^x) ?
The solution to sqrt(25^x) is 5^x