en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3x^2)^{2x}

Solution

simplify

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

Solution

9^{x} x^{4 x}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

(x^{2})^{2 x} : x^{4 x}

= 3^{2 x} x^{4 x}

3^{2 x} = 9^{x}

= 9^{x} x^{4 x}

Popular Examples

integral of 1/4 x^{-3/4}

\int \frac{1}{4} x^{- \frac{3}{4}} d x

integral of (e^x-e^{-x})

\int (e^{x} - e^{- x}) d x

(\partial)/(\partial u)(ucos(v))

\frac{\partial}{\partial u} (u cos (v))

integral of ((1+cos(3t))/2)

\int (\frac{1 + cos ( 3 t )}{2}) d t

derivative of x/(sin(2x))

\frac{d}{d x} (\frac{x}{sin ( 2 x )})

Frequently Asked Questions (FAQ)

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