What is the Product of Powers Property used for?

To simplify expressions involving the multiplication of powers.

Product of Powers Flashcards: 15 Cards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Product of Powers Property?

Back

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

2.

FLASHCARD QUESTION

Front

Calculate $a^7 \times a^3$ .

Back

$a^{10}$ .

3.

FLASHCARD QUESTION

Front

Calculate $10^2 \times 10^3$ .

Back

$10^5$ .

4.

FLASHCARD QUESTION

Front

Calculate $5^{\frac{1}{2}} \times 5^{\frac{1}{2}}$ .

Back

5.

FLASHCARD QUESTION

Front

Calculate $2^5 \times 2^3$ .

Back

$2^8$ .

6.

FLASHCARD QUESTION

Front

Calculate $x^6 \times x^4$ .

Back

$x^{10}$ .

7.

FLASHCARD QUESTION

Front

What happens when you multiply powers with different bases?

Back

You cannot directly combine them using the Product of Powers Property.

8.

FLASHCARD QUESTION

Front

What is $a^0$ equal to?

Back

1, for any non-zero number a.

9.

FLASHCARD QUESTION

Front

What is the result of $a^1 \times a^0$ ?

Back

$a$ .

10.

FLASHCARD QUESTION

Front

If $b^3 \times b^2 = b^x$ , what is x?

Back

5, because you add the exponents.

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