Question

Select ALL expressions that are equivalent to 38
THERE ARE THREE CORRECT ANSWERS.
O 32 - 36
(31)?
32 - 34
312

Answer 1

Answer:

3^2*3^4

3^12/3^4

(3^4)^2

The first, fourth, and fifth

Step-by-step 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

Answer 2

Answer:

The correct answer to your problem is

$3^{2} * 3^{6} \\\\\frac{3^{12} }{3^{4}} \\\\(3^{4})^{2}$

Step-by-step 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 $\frac{3^{12} }{3^{4} }$ 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 $3^{8}$.