Question

If 5 = a^x, then 5/a = ?​

Answer 1

Answer:

$\frac{5}{a} = {5}^{1 - \frac{1}{x} }$

Answer 2

The value of 5 / a  is a^( x - 1 ).

Given: 5 = a^x.

To Find: The value of 5 / a.

Solution:

• We know that when the bases are the same then if they are in product form, their powers get added and if they are in divided form, their powers are subtracted.

        →  p^q × p^r = p^( q + r )

        →  p^q ÷ p^r = p^( q - r )

We are given that,

         5 = a^x

Dividing both sides by a, we get,

    ⇒  5 / a = a^x / a

On the right-hand side of the equation, we can see that the base ( i.e. 'a') is the same in the numerator and denominator, so we can subtract their powers.

    ⇒  5 / a = a^( x - 1 )

So, the value of 5 / a  is a^( x - 1 ).

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