en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(3^{4x-8)}

Solution

simplify

3^{4 x - 8}

Solution

9^{x - 2}

Solution steps

3^{4 x - 8}

Apply radical rule:

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

= (3^{4 x - 8})^{\frac{1}{2}}

Apply exponent rule:

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

= 3^{(4 x - 8) \frac{1}{2}}

Simplify

(4 x - 8) \frac{1}{2} : 2 (x - 2)

= 3^{2 (x - 2)}

Apply exponent rule:

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

3^{2 (x - 2)} = (3^{2})^{(x - 2)}

= (3^{2})^{(x - 2)}

3^{2} = 9

= 9^{(x - 2)}

Remove parentheses:

(a) = a

= 9^{x - 2}

Popular Examples

simplify e^{-(-0.5+(-0.5))}simplify

e^{- (- 0.5 + (- 0.5))}

simplify 7000(1+0.1)^{-2}simplify

7000 (1 + 0.1)^{- 2}

simplify-8.1*10^{-3}simplify

- 8.1 \cdot 1 0^{- 3}

simplify (e^{2t})/(e^{4t)}simplify

\frac{e ^{2 t}}{e ^{4 t}}

simplify e^{-6.9}simplify

e^{- 6.9}

Frequently Asked Questions (FAQ)

What is sqrt(3^{4x-8)} ?
The solution to sqrt(3^{4x-8)} is 9^{x-2}