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

$$ 1 $$ (Any non-zero number raised to the power of 0 is 1).

What is the property of exponents for multiplying powers with different bases but the same exponent?

When multiplying powers with different bases but the same exponent, you can multiply the bases and keep the exponent. For example, $$ a^n \times b^n = (ab)^n $$ .

What is the property of exponents for negative exponents?

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent. For example, $$ a^{-n} = \frac{1}{a^n} $$ .

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

$$ x^{2 \times 3}y^{3 \times 3} = x^6y^9 $$ .

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

$$ \frac{1}{10^2} = \frac{1}{100} $$ .

What is the property of exponents for zero exponent?

Any non-zero number raised to the power of zero is equal to one. For example, $$ a^0 = 1 $$ .

Properties of Exponents Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the property of exponents when multiplying powers with the same base?

Back

2.

FLASHCARD QUESTION

Front

What is the property of exponents when dividing powers with the same base?

Back

3.

FLASHCARD QUESTION

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4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

What is the property of exponents for raising a power to a power?

Back

6.

FLASHCARD QUESTION

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Back

7.

FLASHCARD QUESTION

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