What is (s^{-2}t^2)^2(s^2t)^3 ?

The solution to (s^{-2}t^2)^2(s^2t)^3 is t^7s^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (s^{-2}t^2)^2(s^2t)^3

simplify

(s^{- 2} t^{2})^{2} (s^{2} t)^{3}

t^{7} s^{2}

Solution steps

(s^{- 2} t^{2})^{2} (s^{2} t)^{3}

Simplify

(s^{- 2} t^{2})^{2} : \frac{t ^{4}}{s ^{4}}

= \frac{t ^{4}}{s ^{4}} (s^{2} t)^{3}

Simplify

(s^{2} t)^{3} : s^{6} t^{3}

= \frac{t ^{4}}{s ^{4}} s^{6} t^{3}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{t ^{4} s ^{6} t ^{3}}{s ^{4}}

Simplify

\frac{s ^{6}}{s ^{4}} : s^{2}

= t^{4} s^{2} t^{3}

Simplify

t^{4} t^{3} : t^{7}

= t^{7} s^{2}

- 3.3 w - (x + 3)

14 m n^{2} - 2 mn

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