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Popular >

simplify (-9r^6s^4)^2

Solution

simplify

(- 9 r^{6} s^{4})^{2}

Solution

81 r^{12} s^{8}

Solution steps

(- 9 r^{6} s^{4})^{2}

Apply exponent rule:

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

if

n

is even

(- 9 r^{6} s^{4})^{2} = (9 r^{6} s^{4})^{2}

= (9 r^{6} s^{4})^{2}

Apply exponent rule:

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

(9 r^{6} s^{4})^{2} = 9^{2} (r^{6})^{2} (s^{4})^{2}

= 9^{2} (r^{6})^{2} (s^{4})^{2}

9^{2} = 81

= 81 (r^{6})^{2} (s^{4})^{2}

Simplify

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

= 81 r^{12} (s^{4})^{2}

Simplify

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

= 81 r^{12} s^{8}

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Frequently Asked Questions (FAQ)

What is (-9r^6s^4)^2 ?
The solution to (-9r^6s^4)^2 is 81r^{12}s^8