What is the value of $$5^0$$ ?

Any non-zero number raised to the power of zero is 1: $$5^0 = 1$$ .

What is the value of $$(-2)^3$$ ?

$$-8$$ , because multiplying -2 by itself three times results in -8.

What is the value of $$\frac{1}{2^{-3}}$$ ?

$$2^3 = 8$$ , because the negative exponent indicates a reciprocal.

What is the value of $$10^{-2}$$ ?

$$\frac{1}{100}$$ , because a negative exponent indicates a reciprocal.

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

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

What is the value of $$\frac{1}{3^{-2}}$$ ?

$$3^2 = 9$$ , because the negative exponent indicates a reciprocal.

What is the value of $$4^{-1}$$ ?

$$\frac{1}{4}$$ , because a negative exponent indicates a reciprocal.

What is the value of $$(-3)^2$$ ?

$$9$$ , because squaring a negative number results in a positive number.

Exponent Rules Flashcards

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1.

FLASHCARD QUESTION

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2.

FLASHCARD QUESTION

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3.

FLASHCARD QUESTION

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4.

FLASHCARD QUESTION

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What does a negative exponent indicate?

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A negative exponent indicates that the base should be taken as the reciprocal raised to the opposite positive exponent.

5.

FLASHCARD QUESTION

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

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6.

FLASHCARD QUESTION

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

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7.

FLASHCARD QUESTION

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