What is (2r^3s)2(sr^3)3 ?

The solution to (2r^3s)2(sr^3)3 is 12r^6s^2

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simplify (2r^3s)2(sr^3)3

simplify

(2 r^{3} s) 2 (s r^{3}) 3

12 r^{6} s^{2}

Solution steps

(2 r^{3} s) \cdot 2 (s r^{3}) \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 2 r^{3} s \cdot 6 s r^{3}

Apply exponent rule:

aa = a^{2}

ss = s^{2}

= 2 r^{3} s^{2} \cdot 6 r^{3}

Simplify

r^{3} r^{3} : r^{6}

= 2 r^{6} s^{2} \cdot 6

Multiply the numbers:

2 \cdot 6 = 12

= 12 r^{6} s^{2}

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