en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-a^3*b^2)^5

Solution

simplify

(- a^{3} \cdot b^{2})^{5}

Solution

- a^{15} b^{10}

Solution steps

(- a^{3} b^{2})^{5}

Apply exponent rule:

(- a)^{n} = - a^{n},

if

n

is odd

(- a^{3} b^{2})^{5} = - (a^{3} b^{2})^{5}

= - (a^{3} b^{2})^{5}

Apply exponent rule:

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

(a^{3} b^{2})^{5} = (a^{3})^{5} (b^{2})^{5}

= - (a^{3})^{5} (b^{2})^{5}

Simplify

(a^{3})^{5} : a^{15}

= - a^{15} (b^{2})^{5}

Simplify

(b^{2})^{5} : b^{10}

= - a^{15} b^{10}

Popular Examples

simplify 2(3+5x)^3+3 simplify

2 (3 + 5 x)^{3} + 3

simplify (8x^4*y^3)^2 simplify

(8 x^{4} \cdot y^{3})^{2}

factor x^2+3x-2xy-6y factor

x^{2} + 3 x - 2 x y - 6 y

factor 121x^2+81y^2-198xy factor

121 x^{2} + 81 y^{2} - 198 x y

simplify ((y^2-81))/((y^2-18y+81))simplify

\frac{( y ^{2} - 81 )}{( y ^{2} - 18 y + 81 )}

Frequently Asked Questions (FAQ)

What is (-a^3*b^2)^5 ?
The solution to (-a^3*b^2)^5 is -a^{15}b^{10}