Calculate (x×4×3)³: Cube of a Three-Term Product

Question

(x⋅4⋅3)3= (x\cdot4\cdot3)^3=

Video Solution

Solution Steps

00:00 Simplify the expression
00:03 When there is a power on a product of terms, all terms are raised to that power
00:11 We will use this formula in our exercise
00:16 We will raise each factor to the power
00:21 And this is the solution to the question

Step-by-Step Solution

Let us begin by using the law of exponents for a power that is applied to parentheses in which terms are multiplied:

(x⋅y)n=xn⋅yn (x\cdot y)^n=x^n\cdot y^n

We apply the rule to our problem:

(x⋅4⋅3)3=x3⋅43⋅33 (x\cdot4\cdot3)^3= x^3\cdot4^3\cdot3^3

When we apply the power to the product of the terms within parentheses, we apply the power to each term of the product separately and keep the product,

Therefore, the correct answer is option C.

Answer

x3⋅43⋅33 x^3\cdot4^3\cdot3^3

More Questions

Related Subjects

Exponents and Exponent rules Rules of Exponentiation Combining Powers and Roots Properties of Exponents Exponent of a Multiplication

Question Types

Applying Combined Exponents Rules: Binomial Applying Combined Exponents Rules: Single Variable Applying Combined Exponents Rules: Variable in the base of the power Applying Combined Exponents Rules: Applying the formula Applying Combined Exponents Rules: A power law Power of a Product: Variable in the base of the power Power of a Product: Applying the formula