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Popular >

simplify (-3a^2b^4c^6)^2

Solution

simplify

(- 3 a^{2} b^{4} c^{6})^{2}

Solution

9 a^{4} b^{8} c^{12}

Solution steps

(- 3 a^{2} b^{4} c^{6})^{2}

Apply exponent rule:

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

if

n

is even

(- 3 a^{2} b^{4} c^{6})^{2} = (3 a^{2} b^{4} c^{6})^{2}

= (3 a^{2} b^{4} c^{6})^{2}

Apply exponent rule:

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

(3 a^{2} b^{4} c^{6})^{2} = 3^{2} (a^{2})^{2} (b^{4})^{2} (c^{6})^{2}

= 3^{2} (a^{2})^{2} (b^{4})^{2} (c^{6})^{2}

3^{2} = 9

= 9 (a^{2})^{2} (b^{4})^{2} (c^{6})^{2}

Simplify

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

= 9 a^{4} (b^{4})^{2} (c^{6})^{2}

Simplify

(b^{4})^{2} : b^{8}

= 9 a^{4} b^{8} (c^{6})^{2}

Simplify

(c^{6})^{2} : c^{12}

= 9 a^{4} b^{8} c^{12}

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Frequently Asked Questions (FAQ)

What is (-3a^2b^4c^6)^2 ?
The solution to (-3a^2b^4c^6)^2 is 9a^4b^8c^{12}