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
- Identify the components of the expression
The expression given is $x \cdot 6 \cdot x^2$.
- 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:
$$ 6 \cdot x \cdot x^2 = 6 \cdot x^{1+2} $$
- Apply the laws of exponents
Now we apply the law of exponents which states that when multiplying like bases, we add their exponents:
$$ 6 \cdot x^{1+2} = 6 \cdot x^3 $$
- 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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