Math, asked by malang, 1 year ago

find cube root of-
 {3}^{15}  \times  {4}^{12}  \times  {5}^{33}
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Answers

Answered by BhawnaAggarwalBT
1
here is your answer
cube root of
 {3}^{15}  \times  {4}^{12} \times   {5}^{33}  \\  =  \sqrt[3]{ {3}^{15}  \times  {4}^{12} \times    {5}^{33} }  \\  =  \sqrt[3]{ {3}^{15} }  \times  \sqrt[3]{ {4}^{12} }  \times   \sqrt[3]{ {5}^{33} }  \\  =  {3}^{15 \times  \frac{1}{3} }  \times  {4}^{12 \times  \frac{1}{3} }  \times  {5}^{33 \times  \frac{1}{3} }  \\  \\ =   {3}^{5}  \times  {4}^{4}  \times  {5}^{11}
this is your answer
hope this helps you
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