((5 p)/(6))((3)/(p))^2

Name: Problem 59, Chapter 5: Elementary Algebra
Uploaded: 2022-02-14T02:02:22-08:00
Duration: 37 s
Channel: Victor Salazar
Description: ((5 p)/(6))((3)/(p))^2

step 1 For exercise 13, we have 30p that's going to be our denominators. So our numerator negative 2 wi

Question

$\left(\frac{5 p}{6}\right)\left(\frac{3}{p}\right)^{2}$

   $\left(\frac{5 p}{6}\right)\left(\frac{3}{p}\right)^{2}$

Elementary Algebra

Laura Bracken, Ed… 1st Edition

Chapter 5, Problem 59

Instant Answer

Solved by Expert Victor Salazar

02/14/2022

Step 1

First, we can rewrite the expression as: $\frac{5p}{6} \cdot \frac{3^2}{p^2}$ Now, we can multiply the numerators and the denominators: $\frac{5p \cdot 3^2}{6 \cdot p^2}$ Simplify the expression: $\frac{5p \cdot 9}{6p^2}$ Show more…

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$\left(\frac{5 p}{6}\right)\left(\frac{3}{p}\right)^{2}$

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Key Concepts

Simplification of Algebraic Expressions

Simplification involves reducing expressions to their simplest form by cancelling common factors in the numerator and denominator. This includes combining like terms and applying arithmetic rules, which is a key process in solving algebraic expressions efficiently.

Properties of Exponents

This concept involves applying the power to both the numerator and denominator when raising a fraction to an exponent. It is essential in algebra to understand that (a/b)^n equals a^n divided by b^n, allowing you to correctly expand and simplify expressions involving powers.

Multiplication of Fractions

When multiplying fractions, the operation is performed separately on the numerators and the denominators. This principle is fundamental for combining fractions and is used frequently in algebra, ensuring that fractions are multiplied correctly while maintaining their proper structure.

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