Simplify Expression 2

[harpazo]

Section R.2
Algebra Essentials
Michael Sullivan
Textbook: College Algebra Edition 9

Simplify each expression. Express the answer so that all exponents are positive. Whenever an exponent is 0 or negative, we assume that the base is not 0.

See attachment for math work and answer.

 

[MarkFL]

W|A is great for simple checking:

((5x^(-2))/(6y^(-2)))^(-3) - Wolfram|Alpha

Wolfram|Alpha brings expert-level knowledge and capabilities to the broadest possible range of people—spanning all professions and education levels.

www.wolframalpha.com

Can you spot your error?

 

[harpazo]

W|A is great for simple checking:

((5x^(-2))/(6y^(-2)))^(-3) - Wolfram|Alpha

Wolfram|Alpha brings expert-level knowledge and capabilities to the broadest possible range of people—spanning all professions and education levels.

www.wolframalpha.com

Can you spot your error?

I do not see an error. I checked every step and don't see anything wrong here. Point it out to me.

 

[MarkFL]

Your third line of work is where the errors begin.

 

[Otis]

I do not see an error … Point it out …

You meant "Please point it out", yes?

Here's a hint: When a power is multiplied by a coefficient, the exponent applies only to the base; it does not apply to the coefficient.

EG: Ax² \(\;\) That expression does not mean A²∙x²

?

 

[topsquark]

Check out lines 2 and 4. Are they equal? Can you spot what went wrong on line 3?

-Dan

 

[harpazo]

Check out lines 2 and 4. Are they equal? Can you spot what went wrong on line 3?

-Dan

I see the error. Thanks.