en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (a^{x^2})/(((a^x)^2))

Solution

simplify

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

Solution

a^{x^{2} - 2 x}

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0

(a^{x})^{2} = a^{x \cdot 2}

= \frac{a ^{x^{2}}}{a ^{x \cdot 2}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

= a^{x^{2} - x \cdot 2}

= a^{x^{2} - 2 x}

Popular Examples

simplify (-3.2)b(9.2)c(3.1)simplify

(- 3.2) b (9.2) c (3.1)

simplify (1-m)^0 simplify

(1 - m)^{0}

simplify (3m-5m-8)/5 simplify

\frac{3 m - 5 m - 8}{5}

simplify (sec^2(x))/(cos(x))simplify

\frac{sec ^{2} ( x )}{cos ( x )}

simplify (7^2x^3)^2 simplify

(7^{2} x^{3})^{2}

Frequently Asked Questions (FAQ)

What is (a^{x^2})/(((a^x)^2)) ?
The solution to (a^{x^2})/(((a^x)^2)) is a^{x^2-2x}