equations involving rational exponents problem

(t - 1) ^-2/3 = 2

the answer is {4 - sqrt of 2 / 4}, {4 + sqrt of 2 / 4}

my steps:

1. raise each side a neg 3 to elimate neg 2

2. the 2 becomes 1/8

3. apply even root property

t-1 = + or - 1 / 2 times sq rt of 2 and from there i know i srewed up, any tips would be great

Try this way

i dont get how you went from step 2 to 3

Here it is in more detail

Quote:

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Originally Posted by mathmathmathmathmathmathm

(t - 1) ^-2/3 = 2

the answer is {4 - sqrt of 2 / 4}, {4 + sqrt of 2 / 4}

my steps:

1. Raise each side a neg 3 to elimate neg 2

2. The 2 becomes 1/8

3. Apply even root property

t-1 = + or - 1 / 2 times sq rt of 2 and from there i know i srewed up, any tips would be great

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hi all

Quote:

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Originally Posted by mathmathmathmathmathmathm

(t - 1) ^-2/3 = 2

the answer is {4 - sqrt of 2 / 4}, {4 + sqrt of 2 / 4}

my steps:

1. raise each side a neg 3 to eliminate neg 2

2. the 2 becomes 1/8

3. apply even root property

t-1 = + or - 1 / (2 times sq rt of 2) and from there i know i screwed up. Any tips would be great.

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The method in your Original Post looks fine as far as you went, with the addition of the above parentheses.

Therefore,

Added in Edit:
Looks like mrmohamed beat me to it.