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Questions and Answers
What does it mean when a quotient is raised to a power?
What does it mean when a quotient is raised to a power?
When a quotient is raised to a power, each base is given its own exponent.
How can we think of the exponent being distributed to each part of the fraction?
How can we think of the exponent being distributed to each part of the fraction?
We can think of the exponent being distributed to each part of the fraction, similar to the concept of power of a product.
If we have (x / y)^3, what does that mean?
If we have (x / y)^3, what does that mean?
(x / y)^3 means that we take x / y and multiply it three times.
What is the numerator when we have (x / y)^3?
What is the numerator when we have (x / y)^3?
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What is the denominator when we have (x / y)^3?
What is the denominator when we have (x / y)^3?
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Study Notes
Raising a Quotient to a Power
- When a quotient (a fraction) is raised to a power, it means the entire fraction is being raised to that power.
- To evaluate the expression, we need to think of the exponent being distributed to each part of the fraction.
Distributing the Exponent
- When we have an expression like (x / y)^3, it means the exponent 3 is being applied to the entire quotient x / y.
- This means the numerator x is being raised to the power of 3, and the denominator y is also being raised to the power of 3.
Numerator and Denominator
- When we have (x / y)^3, the numerator is x^3.
- When we have (x / y)^3, the denominator is y^3.
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Description
Test your knowledge of the five exponent properties with this quiz. Learn about the order of operations for exponents and gain unlimited access to lessons in math, English, science, history, and more as a member.
