Question

Which expressions are equivalent to 4^-2 * 7^-2

A: (4 * 7)^-4

B: 1/28^2

C: 7^-2 / 4^2

D: (4 * 7)^4

Answer 1

Answer:

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

C. $\frac{7^{-2}}{4^2}$

Step-by-step explanation:

The given expression is $4^{-2}*7^{-2}$

We can rewrite in various forms using the rules: $(a^m)^n=a^{mn}$ and $a^{-m}=\frac{1}{a^m}$

For instance

$4^{-2}*7^{-2}=\frac{1}{4^2}*\frac{1}{7^2}=\frac{1}{(4*7)^2}=\frac{1}{28^2}$...Option B

OR

$4^{-2}*7^{-2}=\frac{7^{-2}}{4^2}$....Option C

Therefore options B and C are correct

Answer 2

Answer:

B and C

Step-by-step explanation:

4^-2 can also be written as 1/4^2 and so can 7^-2