Question

Simplify the expression below. If your answer is not a whole number, enter it as a fraction in lowest terms, using the slash mark ( / ) as the fraction bar.

(17^1/8)^8

Answer 1

PEMDAS

(Parentheses, Exponents, Multiplication, Division, Addition, Subtraction)
That is the order of operations

Answer 2

\[(17^{\frac{ 1 }{ 8 }})^{8}\]

Answer 3

\(\left(a^{b}\right)^c = a^{bc}\)

Answer 4

Remember, when it is an exponent to the power of an exponent, you multiply them.

Answer 5

ex: (2^2)^8 = 2^16

Answer 6

so, what is 1/8 x 8? that will be the power of 17. Then simplify.

Answer 7

1/8 times 8 is 1 @robjoe

Answer 8

so it will be 17 ?

Answer 9

@norajayy that is right!

Answer 10

thank you

Answer 11

no problem!

Answer 12

would i do the same thing for (6^7)^1/7
7 times 1/7 ? @robjoe

Answer 13

the answer will be six

Answer 14

@norajayy yes