What is the rule for raising a power to another power?

When raising a power to a power, multiply the exponents: $$(a^m)^n = a^{m \cdot n}$$ .

What is the result of $$\frac{a^m}{a^m}$$ ?

$$\frac{a^m}{a^m} = 1$$ for any non-zero a.

What is the rule for negative exponents in a fraction?

A negative exponent in the denominator can be moved to the numerator as a positive exponent: $$\frac{1}{a^{-n}} = a^n$$ .

What is the result of $$a^{-m} \cdot a^n$$ ?

$$a^{-m} \cdot a^n = a^{n-m}$$ .

What is the simplified form of $$\frac{b^3}{b^{-2}}$$ ?

$$b^{3 - (-2)} = b^{3 + 2} = b^5$$ .

11/7/2023 Rules of Exponents Flashcards

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1.

FLASHCARD QUESTION

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What is the rule for simplifying expressions with negative exponents?

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2.

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3.

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True.

4.

FLASHCARD QUESTION

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What is the rule for dividing expressions with the same base?

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5.

FLASHCARD QUESTION

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6.

FLASHCARD QUESTION

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7.

FLASHCARD QUESTION

Front

What is the rule for multiplying expressions with the same base?

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