How do you simplify $$\frac{a^m}{a^n}$$ ?

You simplify it by subtracting the exponents: $$\frac{a^m}{a^n} = a^{m-n}$$ .

What is the power of a product rule?

When raising a product to a power, you distribute the exponent to each factor: $$(ab)^n = a^n \times b^n$$ .

What is the power of a quotient rule?

When raising a quotient to a power, you distribute the exponent to the numerator and denominator: $$\frac{a}{b}^n = \frac{a^n}{b^n}$$ .

Simplify $$\frac{3x^5}{3x^2}$$ .

The result is $$x^{5-2} = x^3$$ .

What is $$\frac{a^3b^2}{a^2b}$$ simplified?

The result is $$a^{3-2}b^{2-1} = ab$$ .

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

n = 5, because you add the exponents: $$2 + 3 = 5$$ .

Laws of Exponents Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the first law of exponents?

Back

2.

FLASHCARD QUESTION

Front

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

Back

3.

FLASHCARD QUESTION

Front

What is the zero exponent rule?

Back

4.

FLASHCARD QUESTION

Front

What is the negative exponent rule?

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the power of a power rule?

Back

7.

FLASHCARD QUESTION

Front

What is the product of powers rule?

Back

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