en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

\frac{8 x ^{9}}{y ^{6}}

Solution steps

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

Apply exponent rule:

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

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

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

2^{3} = 8

= 8 (x^{3})^{3} (y^{- 2})^{3}

Simplify

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

= 8 x^{9} (y^{- 2})^{3}

Simplify

(y^{- 2})^{3} : \frac{1}{y ^{6}}

= 8 x^{9} \frac{1}{y ^{6}}

Simplify

8 x^{9} \frac{1}{y ^{6}} : \frac{8 x ^{9}}{y ^{6}}

= \frac{8 x ^{9}}{y ^{6}}

Popular Examples

simplify ((a^2-11a+30))/((a-6))simplify

\frac{( a ^{2} - 11 a + 30 )}{( a - 6 )}

simplify 2sin(x)cos(x)+2sin(y)cos(y)simplify

2 sin (x) cos (x) + 2 sin (y) cos (y)

expand (2a+7b)^3 expand

(2 a + 7 b)^{3}

simplify ln(e^{3x-2})simplify

ln (e^{3 x - 2})

simplify (cos^5(x))/2-(cos^3(x))/2 simplify

\frac{cos ^{5} ( x )}{2} - \frac{cos ^{3} ( x )}{2}

Frequently Asked Questions (FAQ)

What is (2x^3y^{-2})^3 ?
The solution to (2x^3y^{-2})^3 is (8x^9)/(y^6)