Question

Help

Answer 1

Simplify \[(2^3+4^3)^{-1/9}\]

Answer 2

okay so lets start from the beginning, what would you do since the exponent is negative?

Answer 3

Choices are:
a) -2
b)\[8^{-1/3}\]
c)1/2
d)2

Answer 4

after you turn the exponent into positive, you can work on the inside of the parenthesis and solve 2^3+4^3 which is just 2*2*2+4*4*4

Answer 5

so 1/72

Answer 6

Use this rule for negative exponents.
\[ \left( \frac{ a }{ b } \right)^{-x} = \left( \frac{ b }{ a } \right)^x\] So your question becomes:\[(2^3+4^3)^{-1/9}= \left( \frac{ 1 }{ 2^3+4^3 } \right)^{1/9}=\frac{ 1 }{ (2^3+4^3)^{1/9} }\] Just calculate the answer now. Can you do that? @evy15

Answer 7

yes

Answer 8

@evy15 you forgot about the 1/9

Answer 9

Ok @evy15 post the answer you get and I'll tell you whether it's correct or not.

Answer 10

so do (72)^1/3 and that answer should be over 1