Question

is the expression x3 ∙ x3 ∙ x3 equivalent to x3 ∙ 3 ∙ 3? why or why not? explain your reasoning. source stylesnormalfontsize

Answer 1

The expression x^3 * x^3 * x^3 is not equivalent to x^3 * 3 * 3.

Step-by-step explanation:

The expression x3 ∙ x3 ∙ x3 is not equivalent to x3 ∙ 3 ∙ 3. Let's break it down step by step:

1. 
   
3. x3 ∙ x3 ∙ x3 can be simplified as x9, where we add the exponents (3+3+3) because we are multiplying the bases with the same exponent.
4. 
   
6. x3 ∙ 3 ∙ 3 can be simplified as 3x2, where the first part (x3) is already simplified and the remaining numbers are multiplied together.

Therefore, x3 ∙ x3 ∙ x3 is not equivalent to x3 ∙ 3 ∙ 3.

Answer 2

No, the expressions x³. x³. x³ is not equivalent to x³. 3. 3

First, we need to know that equivalent expressions are described as expressions that have the same value but differ in the way in which the variables or numbers are arranged.

From the information given, we have that the expressions are;

x³ . x³.x³

Now, in multiplying powers of index forms, we have to add their exponents since they are have the same base values, we have;

x⁹

However, the expression x³. 3. 3 would give;

9x³

Hence, the expressions are not equivalent