Question

simplify and write in exponent form with negative exponent : ​

Answer 1

Answer:

$=⟩ {2}^{ - 1} [ {( \frac{5}{3} )}^{4} + {( \frac{3}{5} )}^{ - 2} ] \div \frac{17}{9} \\ =⟩ \frac{1}{2} [ \frac{ {(5)}^{4} }{ {(3)}^{4} } + \frac{ {(3)}^{ - 2} }{ {(5)}^{ - 2} } ] \times \frac{9}{17} \\ =⟩ \frac{1}{2} [ \frac{ {(5)}^{4} }{ {(3)}^{4} } + \frac{ {(5)}^{ 2} }{ {(3)}^{ 2} } ] \times \frac{9}{17} \\ = ⟩ \frac{1}{2} [ \frac{625}{81} + \frac{25}{9} ] \times \frac{9}{17} \\ =⟩ \frac{1}{2} [ \frac{625+225}{81} ] \times \frac{9}{17} \\ =⟩ \frac{1}{2} \times \frac{850}{81} \times \frac{9}{17} \\ =⟩ \frac{25}{9} = \frac{ {5}^{2} }{ {3}^{2} } \\ =⟩ {5}^{2} \times {3}^{ - 2} \\ \red{\mathfrak{\underline{\large{Hope \: It \: Helps \: You }}}} \\ \blue{\mathfrak{\underline{\large{Mark \: Me \: Brainliest}}}}$