Math, asked by aasamaramteke02, 11 months ago

plz solve this,first answer will get brainlist ​

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Answered by Anonymous
2

\huge{ \underline{ \boxed{ \mathfrak{ \red{question}}}}}

a) {8}^{ \frac{ - 1}{3} }  \times   \sqrt[3]{8}  \\ b) {3}^{ \frac{2}{3} }  \times   {3}^{ \frac{1}{3} }

 \huge{ \underline{ \boxed{ \mathfrak{ \red{answer}}}}} \\  \\ a) {8}^{ \frac{ - 1}{3} }  \times  \sqrt[3]{8}  \\  \\  =  >  {8}^{ \frac{ - 1}{3} } \times  {8}^{ \frac{  1}{3} } \\  \\ base \: same \: power \: add \\  \\  =  >  {8}^{ \frac{ - 1}{3}  +  \frac{1}{3} }  \\  \\  =  >  {8}^{ \frac{ - 1 + 1}{3} }  \\  \\  =  >  {8}^{ \frac{0}{3} }  \\  \\  {8}^{0}  \\  \\  =  > 1

b). {3}^{ \frac{2}{3} }  \times  {3}^{ \frac{1}{3} }  \\  \\  =  > base \: same \: power \: add \\  \\   =  > {3}^{ \frac{2}{3} +  \frac{1}{3}  }  \\  \\  =  >  {3}^{ \frac{2 + 1}{3} }  \\  \\  =  >  {3}^{ \frac{3}{3} }  \\  \\  =  >   {3}^{ \frac{1}{1} }  \\  \\  =  >  {3}^{1}  \\  \\  =  > 3

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