Math, asked by katwalrs, 1 year ago

Plzz give the 13 th answer plz

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Answers

Answered by rithinv78
1

Answer:

1

Step-by-step explanation:

3⁴ x 5¹² x 32⁶ x 2⁶/ 5⁴ x 8¹² x 5⁶ x 3⁴ x 5²

simplifying we get,

32⁶ x 2⁶/8¹²

2³⁰ x 2⁶/ 2³⁶

2³⁶/ 2³⁶ = 1

Answered by ihrishi
1

Answer:

( \frac{3}{5} )^{4} ( \frac{8}{5} )^{ - 12} ( \frac{32}{5} )^{6}  \div ( \frac{ {3}^{4}  \times  {5}^{2} }{ {2}^{6} } ) \\  = ( \frac{3}{5} )^{4} ( \frac{5}{8} )^{ 12} ( \frac{32}{5} )^{6}  \div ( \frac{ {3}^{4}  \times  {5}^{2} }{ {2}^{6} } )  \\ = ( \frac{3}{5} )^{4} ( \frac{5}{ {2}^{3} } )^{ 12} ( \frac{ {2}^{5} }{5} )^{6}  \times ( \frac{{2}^{6} }{{3}^{4}  \times  {5}^{2}} )   \\ =  \frac{  {3}^{4} }{ {5}^{4} }  \times  \frac{ {5}^{12} }{ {2}^{3 \times 12} }  \times  \frac{ {2}^{5 \times 6} }{ {5}^{6} }  \times  \frac{ {2}^{6} }{ {3}^{4}  \times  {5}^{2} }  \\  = \frac{  {3}^{4} }{ {5}^{4} }  \times  \frac{ {5}^{12} }{ {2}^{36} }  \times  \frac{ {2}^{30} }{ {5}^{6} }  \times  \frac{ {2}^{6} }{ {3}^{4}  \times  {5}^{2} }  \\  =  \frac{ {3}^{4} }{{3}^{4}}  \times  \frac{ {5}^{12} }{ {5}^{4 + 6 + 2} }  \times  \frac{ {2}^{30 + 6} }{ {2}^{36} }  \\  = \frac{ {3}^{4} }{{3}^{4}}  \times  \frac{ {5}^{12} }{ {5}^{12} }  \times  \frac{ {2}^{36} }{ {2}^{36} }  \\   = 1 \times 1 \times 1 \\  = 1 \\ thus \\ ( \frac{3}{5} )^{4} ( \frac{8}{5} )^{ - 12} ( \frac{32}{5} )^{6}  \div ( \frac{ {3}^{4}  \times  {5}^{2} }{ {2}^{6} } )  = 1

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