What is the result of $$(x^{a})^{b}$$ ?

$$x^{a \cdot b}$$ (Multiply the exponents)

What is the value of $$5^{-2}$$ ?

$$\frac{1}{25}$$ (Negative exponent means reciprocal)

What is the quotient of $$x^{6}$$ and $$x^{2}$$ ?

$$x^{4}$$ (Subtract the exponents)

What does $$x^{-a}$$ represent?

$$\frac{1}{x^{a}}$$ (Negative exponent indicates reciprocal)

What is the simplified form of $$x^{3} \cdot x^{-5}$$ ?

$$\frac{1}{x^{2}}$$ (Add exponents: 3 + (-5) = -2)

What is the simplified form of $$\frac{a^{5}}{a^{2}}$$ ?

$$a^{3}$$ (Subtract the exponents)

8.1-8.3 Exponent Rules Review #1 Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the rule for multiplying exponential factors with the same base?

Back

To multiply exponential factors with the same base, add their powers.

Tags

CCSS.8.EE.A.1

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

Which expression is equivalent to 5 • 5 • 5 • 5?

Back

Tags

CCSS.6.EE.A.1

4.

FLASHCARD QUESTION

Front

Back

8

Tags

CCSS.8.EE.A.1

5.

FLASHCARD QUESTION

Front

What is the rule for dividing exponential factors with the same base?

Back

To divide exponential factors with the same base, subtract the exponent of the denominator from the exponent of the numerator.

Tags

CCSS.8.EE.A.1

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

1

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