Question

im a teacher I have dobt this is my son worksheet pls help and explain

Answer 1

Answer:

5²=25

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Answer 2

Answer:

$\frac{1}{5^{-2} } =5^{2} =25$

Step-by-step explanation:

A fraction with negative power in its denominator equals the positive power of that number.

We write    $x=\frac{x}{1}$ , where $x$   is any number.

Then $x^{-1}$ is the multiplicative inverse of $x$ ,therefore the product of $x$ and $x^{-1}$ gives the multiplicative identity $1$ .

That is         $xx^{-1} =1$

           ⇒ $x=\frac{1}{x^{-1} }$     or    $x^{-1} =\frac{1}{x}$.

Here $x=5^{2}$  therefore $\frac{1}{5^{-2} } =5^{2}$

 

Hence the answer

thank you