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How do you simplify ${(2 r^{2})}^{3} {(3 s^{3})}^{2}$ $(2r^2)^3(3s^3)^2$ ?

1 Answer

Apr 10, 2016

${(2 r^{2})}^{3} {(3 s^{3})}^{2} = 72 r^{3} s^{6}$ $(2r^2)^3(3s^3)^2=72r^3s^6$

Explanation:

${(2 r^{2})}^{3} {(3 x^{3})}^{2}$ $(2r^2)^3(3x^3)^2$
$XXX = (2^{3}) \cdot {(r^{2})}^{3} \cdot (3^{2}) \cdot {(s^{3})}^{2}$ $color(white)("XXX")=(2^3) * (r^2)^3 * (3^2) * (s^3)^2$

$XXX = 8 \cdot r^{6} \cdot 9 \cdot s^{6}$ $color(white)("XXX")=8 * r^6 * 9 * s^6$

$XXX = 8 \times 9 \cdot r^{6} s^{6}$ $color(white)("XXX")=8xx9 * r^6s^6$

$XXX = 72 r^{6} s^{6}$ $color(white)("XXX")=72r^6s^6$

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