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

Select ALL expressions that are equivalent to 38 THERE ARE THREE CORRECT ANSWERS O 32 36 31 32 34 312 class=

Respuesta :

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:

The correct answer to your problem is

[tex]3^{2} * 3^{6} \\\\\frac{3^{12} }{3^{4}} \\\\(3^{4})^{2}[/tex]

Step-by-step explanation:

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

For example the first answer ([tex]3^{2} * 3^{6}[/tex]) 6 + 2 = 8 so your answer [tex]3^{8}[/tex].

The next one [tex]\frac{3^{12} }{3^{4} }[/tex] you would divide 12 by 4 and get 8 giving the answer [tex]3^{8}[/tex].

And finally the last one [tex](3^{4})^{2}[/tex]  if you mutiply the exponets 4 and 2 you would get 8 so you answer would be [tex]3^{8}[/tex].