this isn't the same question as my last post!! it's the second out of three.

Hello! I'm looking over one of my tests and trying to see how to do things I got wrong, but I'm having trouble with three of the questions. Here's one of them:

Find the simplified form of the equation:
)-2
( 3 )
------
4
( 2b )

my answer was:

( 27 )
------
64
( 8b )

the correct answer is:


( 27 )
------
12
( 8b )

how do I get this answer?
(if you don't understand the formatting of the numbers, here they are in a different format that you may be able to understand better)

question: (3/2b^4)^-2
my answer: (27/8b^64)
real answer: (27/8b^12)

1 answer

When you have a fraction raised to a negative exponent, flip the fraction and make the exponent positive.
e.g. (4/5)^-3 = (5/4)^3 = 125/64

for yours: (3/2b^4)^-2 -----> now here is a problem, did you mean (3/(2b^4) )^-2 ??
let's assume that's what you meant:
(3/(2b^4) )^-2
= ( 2b^4/3)^2
= 4 b^8 / 9

looking at the given answer, I suspect that the exponent was -3 instead of -2
so (3/(2b^4) )^-3
= (2b^4/3)^3
= 8b^12/27 , does not match your given answer

check your typing of the question,
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