Question

4^-2 x 7^-2 equivalent expression

Answer 1

Not sure exactly which equivalent expression you are looking for but my goal would be to write it without the negative exponent.

`(1)/(28^2)`

Explanation:

They have the same exponent and it is multiplication.

There is a law of exponent that says
`(a \cdot b)^x=a^x \cdot b^x` .

So we have
`4^(-2) \cdot 7^(-2)` equals
`(4 \cdot 7)^(-2)`.

Let's simplify (4*7)^(-2).

Since 4*7=28, we can say
`(4*7)^(-2)=(28)^(-2)`.

Some people really hate that negative exponent. All that - in the exponent means is reciprocal. So
`28^(-2)=(1)/(28^2)`.