Laws of Exponents

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1/15 cards
What is the Product of Powers Property?
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When multiplying two exponents with the same base, you add the exponents.
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How can the Power of a Power Property be described?
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When raising a power to another power, you multiply the exponents.
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What does the Quotient of Powers Property state?
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When dividing two exponents with the same base, you subtract the exponents.
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How is the Zero Exponent Rule defined?
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Any non-zero base raised to the power of zero is equal to one.
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What happens when you apply the Negative Exponent Rule?
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A negative exponent indicates taking the reciprocal of the base and then applying the positive exponent.
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Explain the Power of a Product Property.
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Distribute the exponent to each factor inside the parentheses.
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What is the Power of a Quotient Property?
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Distribute the exponent to both the numerator and the denominator of the fraction.
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If you have a base of 5 with an exponent of -3, how do you simplify it?
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1/5^3, or 1/125.
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How do you express (3^2)^3 using the Power of a Power Property?
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3^6.
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What is the simplified form of 2^3 * 2^4?
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2^7.
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How do you simplify 10^5 / 10^2 using the Quotient of Powers Property?
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10^3.
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What does 7^0 equal?
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1.
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Simplify 4^-2 using the Negative Exponent Rule.
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1/16.
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How do you apply the Power of a Product Property to (3 * 2)^4?
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3^4 * 2^4.
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What is the result of applying the Power of a Quotient Property to (2/3)^3?
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2^3/3^3.
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