Question

I don't know how to do this problem:

Which of the following expressions are equivalent to (3^6 x 3^-4)^2

Select all that apply
3^3 x 3
81
3^7/3^3
3^-6/3^-18
12
3^-2 x 3^14

Answer 1

3^3×3

81

3^7/3^3

Step-by-step explanation:

First you should solve the expression you've got there.

(3^6×3^-4)^2

3^6= 3×3×3×3×3×3 the answer is 729

3^-4 A negative exponent means repeated division by the base. So for example 2^-4=1/(2^4)

=1/(2×2×2×2)= 1/16

3^-4= 1/(3^4)

=1/(3×3×3×3)

= 1/81 If you look up the answer in your calculator the answer that will show up will be 0.01234567901

So!

(729×0.01234567901)^2= 9^2

9^2= 81

Now you can look at the following expressions and whichever gives the answer 81 will be correct.

hope it helps!