What is the rule for multiplying powers with different bases?

You cannot combine them unless they have the same base.

What does a negative exponent indicate?

It indicates the reciprocal of the base raised to the positive exponent: $$a^{-n} = \frac{1}{a^n}$$ .

Exponent Rules Test Flashcards: 16 Cards (7th Grade)

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16 questions

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1.

FLASHCARD QUESTION

Front

Simplify $6 \cdot c^4 \cdot d^{-3}$

Back

$\frac{6c^4}{d^3}$

2.

FLASHCARD QUESTION

Front

Simplify $\frac{6m^4n^{-3}}{6m^{-2}n^5}$

Back

$\frac{m^6}{n^8}$

Tags

CCSS.8.EE.A.1

3.

FLASHCARD QUESTION

Front

Simplify $\left(6a^4\right)\left(3a^2\right)$

Back

$18a^6$

4.

FLASHCARD QUESTION

Front

Simplify $\frac{a^9}{a^7}$

Back

$a^2$

Tags

CCSS.8.EE.A.1

5.

FLASHCARD QUESTION

Front

To make a negative exponent positive, you have to ___________________.

Back

move the base and exponent to the other side of the fraction bar

Tags

CCSS.8.EE.A.1

6.

FLASHCARD QUESTION

Front

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

Back

Add the exponents: $a^m \cdot a^n = a^{m+n}$

Tags

CCSS.8.EE.A.1

7.

FLASHCARD QUESTION

Front

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

Back

Subtract the exponents: $\frac{a^m}{a^n} = a^{m-n}$

Tags

CCSS.8.EE.A.1

8.

FLASHCARD QUESTION

Front

What happens to a base when raised to the power of zero?

Back

Any non-zero base raised to the power of zero equals one: $a^0 = 1$ .

Tags

CCSS.8.EE.A.1

9.

FLASHCARD QUESTION

Front

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

Back

Multiply the exponents: $(a^m)^n = a^{m \cdot n}$ .

Tags

CCSS.8.EE.A.1

10.

FLASHCARD QUESTION

Front

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

Back

$-8$ .

Tags

CCSS.8.EE.A.1

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