Question

4^-2 x 7^-2 equivalent expression

Answer 1

Answer:

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

$\frac{1}{28^2}$

Step-by-step 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 $28^{-2}=\frac{1}{28^2}$.