Question

Perform the indicated operations. $$\left(x^{4} y^{3}\right)^{3}$$

   Perform the indicated operations.
$$\left(x^{4} y^{3}\right)^{3}$$

Prealgebra

Julie Miller, Molly… 1st Edition

Chapter 10, Problem 4

Instant Answer

Solved by Expert Liuxi Sun

07/26/2020

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This is done by multiplying the exponents. Show more…

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Perform the indicated operations. $$\left(x^{4} y^{3}\right)^{3}$$

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Key Concepts

Power of a Product Rule

The power of a product rule states that when a product of factors is raised to an exponent, each factor in the product is raised to that exponent individually. This rule enables the distribution of the exponent over the product and simplifies the process of handling multiplications inside parentheses.

Power of a Power Rule

The power of a power rule allows for the simplification of expressions where an exponentiated term is raised to another exponent. It states that the resulting exponent is the product of the exponents, thereby reducing the expression (a^m)^n to a^(m*n).

Exponentiation

Exponentiation is the mathematical operation of raising a base to a power, which represents repeated multiplication of the base. This concept is fundamental in algebra and is used to simplify expressions and model growth and scaling behaviors.

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