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Simplify. Express your answer using positive exponents.
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Algebra 1
Simplify exponential expressions using the multiplication and division rules
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Q. Simplify. Express your answer using positive exponents.
- Write Expression, Identify Like Terms: Write down the given expression and identify like terms.The given expression is . We can see that appears in both the numerator and the denominator, which means we can simplify by canceling out common factors.
- Factor Out Common Terms: Factor out the common terms.We can rewrite the expression by separating the coefficients and the powers of .
- Simplify Coefficients: Simplify the coefficients. divided by is , so we have:(\frac{\(6\)}{\(2\)}) \cdot (\frac{f^\(3\)}{f^\(1\)}) \cdot (\frac{\(1\)}{f^\(3\)}) = \(3 \cdot (\frac{f^}{f^}) \cdot (\frac{}{f^})
- Simplify Powers of f: Simplify the powers of f.When dividing powers with the same base, we subtract the exponents.So we have:
- Combine Powers of f: Combine the powers of f.When multiplying powers with the same base, we add the exponents.However, we want to express our answer using positive exponents. is the same as or simply .So we have:
- Write Final Expression: Write the final simplified expression.The final expression is:
