Simplify 6h / 3h. Express your answer using exponents.
Understand the Problem
The question is asking to simplify the expression 6h / 3h and to express the answer using exponents if possible.
Answer
The simplified expression is $2$.
Answer for screen readers
The simplified expression is $2$.
Steps to Solve
- Write the expression as a fraction
The expression can be written as follows:
$$ \frac{6h}{3h} $$
- Simplify the coefficients
Divide the coefficients (the numbers in front):
$$ \frac{6}{3} = 2 $$
- Simplify the variable terms
Since $h$ is in both the numerator and the denominator, we can simplify it. The $h$ in the numerator and the $h$ in the denominator cancel out:
$$ \frac{h}{h} = 1 $$
- Combine the results
Now combine the results of the coefficient and the variable:
$$ \frac{6h}{3h} = 2 \cdot 1 = 2 $$
The simplified expression is $2$.
More Information
The simplification of the expression involves canceling common terms in the numerator and denominator. Here, $h$ cancels out, leaving just the coefficient ratio, which is $2$.
Tips
- Forgetting to cancel out the common terms. Always check if the same variable appears in both the numerator and denominator, as they can be simplified.
- Confusing the rules for exponents. In this case, since both terms contain the same base raised to the same power, they simplify directly.
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