Question

Find the value of 'n' for which 5^n / 5^-3 = 5^5

Answer 1

$\frac{5 {}^{n} }{5 {}^{ - 3} } = 5 {}^{5} \\ 5 {}^{n} = 5 {}^{5} \times 5 {}^{ - 3} \\ 5 {}^{n} = (5) {}^{5 - 3} \\ 5 {}^{n} = 5 {}^{2}$
When bases are same we equate powers
So,
n=2