Question 115

$$\sqrt[5]{5}\times5^{3}\div5^{\frac{3}{2}}=5^{a+2}$$ then the value of a is

Solution

$$(5^{1/5} x 5^3) \div 5^{3/2}$$ = $$5^{a+2}$$

$$5^{17/10} = 5^{a+2}$$

a = $$\frac{17}{10} - 2 $$

a = $$\frac{-3}{10}$$


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