6.1 Flashcard: Multiplication Exponent Rules Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the product of two powers with the same base?

Back

When multiplying two powers with the same base, you add the exponents. For example, $n^a \times n^b = n^{a+b}$ .

2.

FLASHCARD QUESTION

Front

Simplify the expression: $n^2 \times n^7$ .

Back

$n^9$ .

3.

FLASHCARD QUESTION

Front

What is the product of a power raised to another power?

Back

When raising a power to another power, you multiply the exponents. For example, $(n^a)^b = n^{a \times b}$ .

4.

FLASHCARD QUESTION

Front

Simplify the expression: $(3j^2k^3)^2$ .

Back

$9j^4k^6$ .

5.

FLASHCARD QUESTION

Front

What is the result of $(2a^2b^3)^4$ ?

Back

$16a^8b^{12}$ .

6.

FLASHCARD QUESTION

Front

What is the result of $(n^7)^4$ ?

Back

$n^{28}$ .

7.

FLASHCARD QUESTION

Front

What is the product of a constant and a power?

Back

When multiplying a constant by a power, you simply multiply the constant by the coefficient of the power. For example, $c \times n^a = cn^a$ .

8.

FLASHCARD QUESTION

Front

Simplify the expression: $(x^2y)(4xy^3)$ .

Back

$4x^3y^4$ .

9.

FLASHCARD QUESTION

Front

What is the result of $(2j^2k)^3$ ?

Back

$8j^6k^3$ .

10.

FLASHCARD QUESTION

Front

What happens when you divide two powers with the same base?

Back

When dividing two powers with the same base, you subtract the exponents. For example, $\frac{n^a}{n^b} = n^{a-b}$ .

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