What is (3x^2)^2*(1/3 x)^4 ?

The solution to (3x^2)^2*(1/3 x)^4 is (x^8)/9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3x^2)^2*(1/3 x)^4

simplify

(3 x^{2})^{2} \cdot (\frac{1}{3} x)^{4}

\frac{x ^{8}}{9}

Solution steps

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

Simplify

(3 x^{2})^{2} : 9 x^{4}

= 9 x^{4} (\frac{1}{3} x)^{4}

Simplify

(\frac{1}{3} x)^{4} : \frac{x ^{4}}{81}

= 9 x^{4} \frac{x ^{4}}{81}

Apply the fraction rule:

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

= \frac{9 x ^{4} x ^{4}}{81}

Cancel

\frac{9 x ^{4} x ^{4}}{81} : \frac{x ^{4} x ^{4}}{9}

= \frac{x ^{4} x ^{4}}{9}

Simplify

x^{4} x^{4} : x^{8}

= \frac{x ^{8}}{9}

(sin (θ) + cos (θ))^{2}

(x - 7) (x + 7) - (x - 8) (x + 8)

sin^{2} (x) (1 + cot^{2} (x))

\frac{- 15}{2}

sin (x) (csc (x) - sin (x))