Simplify. ((5 c^2)/(d))^3

Name: Problem 10, Chapter 10: Prealgebra
Uploaded: 2020-07-26T16:08:07-08:00
Duration: 34 s
Channel: Liuxi Sun
Description: Simplify. ((5 c^2)/(d))^3

step 1 have 5 c squared over d in parentheses raised the third power. So exponents multiply across the

Question

Simplify. $$\left(\frac{5 c^{2}}{d}\right)^{3}$$

   Simplify.
$$\left(\frac{5 c^{2}}{d}\right)^{3}$$

Prealgebra

Julie Miller, Molly… 1st Edition

Chapter 10, Problem 10

Instant Answer

Solved by Expert Liuxi Sun

07/26/2020

Step 1

This means we raise 5 to the power of 3, $c^{2}$ to the power of 3, and d to the power of 3. Show more…

Show all steps

Thanks for your feedback!

Simplify. $$\left(\frac{5 c^{2}}{d}\right)^{3}$$

Play audio

Feedback

Liuxi Sun and 97 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Exponentiation of a Fraction

When an entire fraction is raised to a power, the power applies independently to both the numerator and the denominator. This is represented by the rule (a/b)^n = a^n / b^n, which simplifies the expression by ensuring each part of the fraction is properly exponentiated.

Power of a Product Rule

This rule states that when a product of terms is raised to an exponent, each term in the product is raised to that same exponent. In other words, (ab)^n = a^n * b^n. This property is useful for breaking down and simplifying expressions involving the product of constants and variables.

Power of a Power Rule

This concept explains that when an expression with an exponent is further raised to another exponent, the exponents multiply together, following the rule (a^m)^n = a^(m*n). This is crucial for simplifying expressions with nested exponents or powers of variables.

Please give Ace some feedback