Try the fastest way to create flashcards
Question

# Simplify each expression. Assume all variables are nonzero.$\frac{-24 x^4 y^{-6}}{14 x^{-3} y^3}$

Solution

Verified
Answered 1 year ago
Answered 1 year ago
Step 1
1 of 2

We have to simplify the expression:

\begin{aligned} \frac{-24x^4y^{-6}}{14x^{-3}y^3}&=\frac{-24}{14} \cdot \frac{x^4}{x^{-3}} \cdot \frac{y^{-6}}{y^3} & \left( \frac{a \cdot c}{b \cdot d}=\frac{a}{b} \cdot \frac{c}{d} \right)\\ &=\frac{-12}{7} \cdot \frac{x^4}{x^{-3}} \cdot \frac{y^{-6}}{y^3} & \text{(Reduce the first fraction with 2)}\\ &=\frac{-12}{7} \cdot x^{4-(-3)} \cdot y^{-6-3} & \text{(Quontent of powers property)}\\ &=\frac{-12}{7} \cdot x^{4+3} \cdot y^{-9}\\ &=\frac{-12}{7} \cdot \frac{x^{7}}{y^{9}} & \text{(Negative exponent property)}\\ &=\frac{-12x^{7}}{7y^{9}}.\\ \end{aligned}

## Recommended textbook solutions

#### Holt Algebra 2

1st EditionISBN: 9780030358296Bert K Waits, Dale G. Seymour, David J. Chard, Earlene J. Hall, Edward B. Burger, Freddie L. Renfro, Holt McDougal, Paul A. Kennedy, Steven J. Leinwand
9,038 solutions

#### enVision Algebra 2

1st EditionISBN: 9780328931590 (1 more)Al Cuoco
3,573 solutions

#### Big Ideas Math Algebra 2: A Common Core Curriculum

1st EditionISBN: 9781608408405 (1 more)Boswell, Larson
5,067 solutions

#### Big Ideas Math: Algebra 2 A Common Core Curriculum

1st EditionISBN: 9781642088052Laurie Boswell, Ron Larson
5,067 solutions