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simplify x 6 x 2

Understand the Problem

The question is asking to simplify the expression 'x 6 x 2', which likely involves multiplying the variables and constants together. The high-level approach involves combining like terms and coefficients.

Answer

The simplified expression is $6x^3$.
Answer for screen readers

The simplified expression is $6x^3$.

Steps to Solve

  1. Identify the components of the expression

The expression given is $x \cdot 6 \cdot x^2$.

  1. Combine the coefficients

First, we notice there is a coefficient (6) and both 'x' and $x^2$ are variables. We can combine the coefficient with the numerical part:

$$ 6 \cdot x \cdot x^2 = 6 \cdot x^{1+2} $$

  1. Apply the laws of exponents

Now we apply the law of exponents which states that when multiplying like bases, we add their exponents:

$$ 6 \cdot x^{1+2} = 6 \cdot x^3 $$

  1. Write the simplified expression

Now we can write down the simplified version of the original expression:

$$ 6x^3 $$

The simplified expression is $6x^3$.

More Information

When simplifying expressions with variables and constants, remember to combine coefficients and apply the laws of exponents correctly. The result indicates that the expression has a variable raised to the power of 3 with a coefficient of 6.

Tips

  • Forgetting to add the exponents correctly when multiplying variables with the same base.
  • Misplacing the coefficient in the simplified form.
  • Neglecting to write the final result in a clean standard form.
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