Question

Select ALL expressions that are equivalent to 38

THERE ARE THREE CORRECT ANSWERS.
O 32 - 36
(31)?
32 - 34
312

Answer 1

The correct answer to your problem is

`3^(2) * 3^(6) \\\\(3^(12) )/(3^(4)) \\\\(3^(4))^(2)`

Explanation:

You can think of the exponets as it's own number's.

For example the first answer (
`3^(2) * 3^(6)`) 6 + 2 = 8 so your answer
`3^(8)`.

The next one
`(3^(12) )/(3^(4) )` you would divide 12 by 4 and get 8 giving the answer
`3^(8)`.

And finally the last one
`(3^(4))^(2)` if you mutiply the exponets 4 and 2 you would get 8 so you answer would be
`3^(8)`.

Answer 2

3^2*3^4

3^12/3^4

(3^4)^2

The first, fourth, and fifth

Explanation:

Follow rules of exponents

When multiply an exponent with same base just add the exponents

EX: 2^2 * 2^2= 2^4

When dividing with the same base, subtract

EX: 3^12/3^2=3^10

When raising the power of an exponent to another exponent, multiply.

EX: (3^2)^2=3^2