Simplify: $$(2x^2y^3)^3$$

$$2^3 x^{2 \times 3} y^{3 \times 3} = 8x^6y^9$$ .

What is the Power of a Power Property?

The Power of a Power Property states that to raise a power to another power, you multiply the exponents. For example, $$(x^a)^b = x^{a \times b}$$ .

What is the Zero Exponent Rule?

The Zero Exponent Rule states that any non-zero number raised to the power of zero equals one. For example, $$x^0 = 1$$ .

What is the Negative Exponent Rule?

The Negative Exponent Rule states that a negative exponent indicates the reciprocal of the base raised to the opposite positive exponent. For example, $$x^{-a} = \frac{1}{x^a}$$ .

What is the significance of the base in exponentiation?

The base in exponentiation is the number that is being multiplied by itself. For example, in $$x^3$$ , x is the base.

Exponent Rules! Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Product of Powers Property?

Back

2.

FLASHCARD QUESTION

Front

What happens when anything (except zero) is raised to the zero power?

Back

Anything raised to the zero power (except zero) is equal to 1.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

What is the Quotient of Powers Property?

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What is the Power of a Product Property?

Back

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