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Popular >

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

Solution

simplify

(- a^{3} 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}

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Frequently Asked Questions (FAQ)

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