Question

Simplify open parentheses x to the 2 ninths power close parentheses to the 3 eighths power.

x to the 5 seventeenths power
x to the 1 twelfth power
x to the 11 over 72 power
x to the 43 over 72 power

Answer 1

I WILL MEDAL AND FAN

Answer 2

@mathmate

Answer 3

Law of exponents:
\(\large(x^a)^b=x^{ab}\)
In your case,
x=x
a=2/9
b=3/8
Can you multiply fractions? If you need a review, here it is:
https://www.mathsisfun.com/fractions_multiplication.html

Answer 4

im a little confused. 3/8 isnt a option @mathmate

Answer 5

@shesolitt
3/8 should not be an option, nor 2/9!
Please reread the second line of my previous post, carefully.

Answer 6

i got 1 over 12 @mathmate

Answer 7

Good job, the first step is done!
But...1/12 is not going to be the answer, although this is related to the answer.
Reread the second line above, and see if you can find what's missing.
Second line reproduced below:
\(\large(x^a)^b=x^{ab}\)