Question

tell me guys fast with step by step explanation ​

Answer 1

Answer:

Multiplicative inverse or Reciprocal [[Which you may be more familiar with]] is writing a number x as $\frac{1}{x}$ .

Let's get into the questions.

(i) $3^{25}$

The reciprocal would be $\frac{1}{3^25}$.

There is a  law of exponent, stating, $\frac{1}{a}$ = $a^{-1}$.

That means, $\frac{1}{3^25}$ = $3^{-25}$

∴The multiplicative inverse of $3^{25}$ is  $3^{-25}$.

(ii) $4^{-3}$

= 1/4^-3

= $4^{3}$ or 64

(iii) $(\frac{2}{5} )^{-2}$

= (Here it is a fraction WHOLE raised to, if it is not kept in the bracket, do not use the following trick.)

What you have to do is reverse the numerator and denominator.

= $(\frac{5}{2})^{2}$ or 6.25

Hope it Helps,

Byeeee