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$$\sqrt[5]{5}\times5^{3}\div5^{\frac{3}{2}}=5^{a+2}$$ then the value of a is
$$(5^{1/5} x 5^3) \div 5^{3/2}$$ = $$5^{a+2}$$
$$5^{17/10} = 5^{a+2}$$
a = $$\frac{17}{10} - 2 $$
a = $$\frac{-3}{10}$$
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