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Popular >

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

Solution

simplify

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

Solution

a^{6} b^{4} c^{2}

Solution steps

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

Apply exponent rule:

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

if

n

is even

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

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

Apply exponent rule:

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

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

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

Simplify

(a^{3})^{2} : a^{6}

= a^{6} (b^{2})^{2} c^{2}

Simplify

(b^{2})^{2} : b^{4}

= a^{6} b^{4} c^{2}

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Frequently Asked Questions (FAQ)

What is (-a^3b^2c)^2 ?
The solution to (-a^3b^2c)^2 is a^6b^4c^2