## Related questions with answers

Question

Simplify. Suppose that all variables represent nonzero integers.

$\dfrac{25 x^{a+b} y^{b-a}}{-5 x^{a-b} y^{b+a}}$

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2Using the laws of exponents and order of operations, the expression $\dfrac{25x^{a+b}y^{b-a}}{-5x^{a-b}y^{b+a}}$ simplifies to

$\begin{align*} & -5x^{a+b-(a-b)}y^{b-a-(b+a)} \\\\&= -5x^{a+b-a+b}y^{b-a-b-a} \\\\&= -5x^{2b}y^{-2a} \\\\&= \dfrac{-5x^{2b}}{y^{2a}} .\end{align*}$

## Create a free account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Create a free account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Recommended textbook solutions

#### Intermediate Algebra: Concepts and Applications

10th Edition•ISBN: 9780134497174 (1 more)Barbara L. Johnson, David J. Ellenbogen, Marvin L. Bittinger8,063 solutions

#### Introductory Algebra for College Students

6th Edition•ISBN: 9780321828170Robert F. Blitzer5,975 solutions

#### Intermediate Algebra for College Students

6th Edition•ISBN: 9780321904461Robert F. Blitzer8,857 solutions

#### Intermediate Algebra

5th Edition•ISBN: 9781259610233Julie Miller, Molly O'Neill, Nancy Hyde8,966 solutions

## More related questions

- college algebra
- college algebra
- college algebra

1/4

- college algebra
- college algebra
- college algebra

1/7