Answer:
Not sure exactly which equivalent expression you are looking for but my goal would be to write it without the negative exponent.
[tex]\frac{1}{28^2}[/tex]
Step-by-step explanation:
They have the same exponent and it is multiplication.
There is a law of exponent that says [tex](a \cdot b)^x=a^x \cdot b^x[/tex] .
So we have [tex]4^{-2} \cdot 7^{-2}[/tex] equals [tex](4 \cdot 7)^{-2}[/tex].
Let's simplify (4*7)^(-2).
Since 4*7=28, we can say [tex](4*7)^{-2}=(28)^{-2}[/tex].
Some people really hate that negative exponent. All that - in the exponent means is reciprocal. So [tex]28^{-2}=\frac{1}{28^2}[/tex].
