Podcast
Questions and Answers
What does the Product Rule state?
What does the Product Rule state?
- To raise a power to another power, write the base and MULTIPLY the exponents.
- To divide when two bases are the same, write the base and SUBTRACT the exponents.
- To multiply when two bases are the same, write the base and ADD the exponents. (correct)
- Any base raised to the zero power is equal to one.
What does the Quotient Rule state?
What does the Quotient Rule state?
- To multiply when two bases are the same, write the base and ADD the exponents.
- Any base (except 0) raised to the zero power is equal to one.
- To raise a power to another power, write the base and MULTIPLY the exponents.
- To divide when two bases are the same, write the base and SUBTRACT the exponents. (correct)
What is the Zero Exponent Rule?
What is the Zero Exponent Rule?
Any base (except 0) raised to the zero power is equal to one.
What does the Power Rule state?
What does the Power Rule state?
What does the Expanded Power Rule mean?
What does the Expanded Power Rule mean?
What happens to the sign of the exponents when moving a factor across the fraction bar?
What happens to the sign of the exponents when moving a factor across the fraction bar?
Study Notes
Exponent Rules
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Product Rule: When multiplying two expressions with the same base, keep the base and add the exponents (a^m × a^n = a^(m+n)).
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Quotient Rule: When dividing two expressions with the same base, keep the base and subtract the exponents (a^m ÷ a^n = a^(m-n)).
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Zero Exponent Rule: Any base raised to the exponent of zero equals one, with the exception of zero itself (a^0 = 1 for a ≠0).
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Power Rule: To raise an exponent to another exponent, keep the base and multiply the exponents ( (a^m)^n = a^(m*n) ).
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Expanded Power Rule: This involves rewriting the expression in its expanded form, displaying all factors explicitly (a^m = a × a × ... × a, m times).
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Negative Exponents: If a factor shifts from the numerator to the denominator (or vice versa), the exponent's sign will change, indicating the reciprocal of that factor (a^(-n) = 1/a^n).
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Description
This quiz covers the essential exponent rules in Algebra 1, including the Product Rule, Quotient Rule, Zero Exponent Rule, and Power Rule. Test your understanding of how these rules apply to simplifying expressions with exponents. Perfect for students looking to reinforce their knowledge.
