en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (1/3)^x*(6/5)^x

Solution

simplify

(\frac{1}{3})^{x} \cdot (\frac{6}{5})^{x}

Solution

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

Solution steps

(\frac{1}{3})^{x} (\frac{6}{5})^{x}

Apply exponent rule:

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

(\frac{1}{3})^{x} (\frac{6}{5})^{x} = (\frac{1}{3} \cdot \frac{6}{5})^{x}

= (\frac{1}{3} \cdot \frac{6}{5})^{x}

\frac{1}{3} \cdot \frac{6}{5} = \frac{2}{5}

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

Popular Examples

simplify 3^{-3}*3^{-2}simplify

3^{- 3} \cdot 3^{- 2}

simplify (6x^3)(3xy)^{-1}simplify

(6 x^{3}) (3 x y)^{- 1}

\frac{x}{9 x ^{2} - 1} > 0

(x - 2) (x + 9) = - 10

(x - 1) (x + 7) \leq 0

Frequently Asked Questions (FAQ)

What is (1/3)^x*(6/5)^x ?
The solution to (1/3)^x*(6/5)^x is (2/5)^x