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Flashcards on Properties of powers with natural exponents
Click on the flashcard to see the answer
What is the result when a number is raised to the power of zero?
The result is always 1.
What is the rule for multiplying two powers with the same base?
Add their exponents together.
What is the rule for dividing two powers with the same base?
Subtract their exponents.
What is the result when a power is raised to another power?
Multiply the exponents together.
What is the rule for raising a product to a power?
Raise each factor to the power.
What is the rule for raising a quotient to a power?
Raise the numerator and denominator to the power.
What is the rule for raising a power to a power?
Multiply the exponents together.
What is the rule for simplifying expressions with negative exponents?
Move the base with the negative exponent to the opposite of the fraction.
What is the rule for simplifying expressions with zero exponents?
Any non-zero number raised to the power of zero is equal to 1.
What is the rule for simplifying expressions with fractional exponents?
Take the root of the base and raise it to the power of the numerator, then take the root of the result and raise it to the power of the denominator.
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Test Your Knowledge
What is the result of 5^0?
1
0
5
25
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What is the rule for multiplying two powers with the same base?
Divide their exponents.
Subtract their exponents.
Add their exponents.
Take the square root of their exponents.
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What is the result of (3^2)^3?
3^6
6^3
3^6
9^3
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What is the rule for raising a product to a power?
Multiply the bases.
Add the exponents.
Raise each factor to the power.
Raise the exponent to the power.
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What is the rule for simplifying expressions with negative exponents?
Add the exponents.
Move the base with the negative exponent to the opposite of the fraction.
Multiply the exponents.
Divide the exponents.
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What is the result of 7^(-2)?
7^2
1/7^2
1/7^2
-7^2
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What is the rule for raising a quotient to a power?
Raise the numerator and denominator to the power.
Add the exponents.
Multiply the exponents.
Raise each factor to the power.
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What is the result of 2^4 * 2^(-3)?
2
2^1
2^7
2^(-1)
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What is the rule for simplifying expressions with zero exponents?
Any non-zero number raised to the power of zero is equal to 1.
Any number raised to the power of zero is equal to 1.
Any number raised to the power of zero is equal to zero.
Any non-zero number raised to the power of zero is equal to zero.
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What is the rule for simplifying expressions with fractional exponents?
Raise the base to the power of the denominator and then take the square root of the result.
Take the root of the base and raise it to the power of the numerator, then take the root of the result and raise it to the power of the denominator.
Raise the base to the power of the numerator and then take the square root of the result.
Take the root of the base and raise it to the power of the denominator, then take the root of the result and raise it to the power of the numerator.
Check Answers
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