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

(x⋅4⋅3)3= (x\cdot4\cdot3)^3=

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Step-by-step video solution

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00:00 Simplify the following 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 This is the solution

Step-by-step written solution

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1

Understand the problem

(x⋅4⋅3)3= (x\cdot4\cdot3)^3=

2

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.

3

Final Answer

x3⋅43⋅33 x^3\cdot4^3\cdot3^3

Practice Quiz

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\( 112^0=\text{?} \)

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