Question

(8^2)^6

Answer 1

Pemdas

Solve the parenthesis first, then ^6

Answer 2

@loveeaj22 What are the instructions for this problem?

Answer 3

You can also mutliply the exponents in and out of the parenthesis.
\(\large 8^{2\times6}\)

Answer 4

And, you can express the answer as a power of 2. We need to know the instructions for the problme.

Answer 5

Yeah @loveeaj22 you may only have to simplify, not actually solve.

Answer 6

What @Directrix says

Answer 7

do i add the exponents or multiply ?

Answer 8

You would multiply, because it's an exponent to an exponent

\[(y^x)^x=y^{x \times x}\]

Answer 9

the instructions are to simplify the problem

Answer 10

Where as
\[y^x \times y^x=y^{x+x}\]

Answer 11

ok @dtan5457 so it would be 64^12 ?

Answer 12

No.
Don't change the 8.
Just multiply the exponents.

Answer 13

so 8^12 @mathstudent55 ?

Answer 14

Yes.

Answer 15

thanks @mathstudent55 @dtan5457 @studygurl14 && @Directrix

Answer 16

Each of the lines following the problem is a correct answer:
\((8^2)^6\)
\(= 8^{2 \times 6} = 8^{12} \)
\(= 64^6\)
\(= ((2^3)^2)^6 = 2^{36}\)

Answer 17

You're welcome.

Answer 18

That is what I think the answer is intended to be.

Answer 19

Of course, you can multiply it out and find a number for the answer.