What is the power of a product rule in exponents?

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

What is the power of a quotient rule in exponents?

When raising a quotient to a power, apply the exponent to both the numerator and the denominator: $$\frac{a^m}{b^m} = \frac{a^m}{b^m}$$ .

Simplify: $$\frac{(x^2y)^3}{(xy^2)^2}$$

$$\frac{x^6y^3}{x^2y^4} = x^4y^{-1} = \frac{x^4}{y}$$ .

What is the significance of the base in exponents?

The base is the number that is being multiplied by itself, and it determines the value of the exponentiation.

What happens when you multiply a number by itself a certain number of times?

This is represented by exponents: $$a^n = a \times a \times ... \times a$$ (n times).

What is the relationship between exponents and roots?

Exponents can be expressed as roots: @@a^{rac{1}{n}} = oot{n}{a}@@.

Laws of Exponents

Flashcard

•

Mathematics

•

8th Grade

•

Practice Problem

•

Hard

•

CCSS

8.EE.A.1, 6.EE.A.1, HSA.APR.A.1

Standards-aligned

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FLASHCARD QUESTION

Front

What is the product of powers rule in exponents?

Back

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

What is the power of a power rule in exponents?

Back

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

What is the zero exponent rule?

Back

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

What is the negative exponent rule?

Back

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

Back

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.APR.A.1

FLASHCARD QUESTION

Front

What is the quotient of powers rule in exponents?

Back

Tags

CCSS.8.EE.A.1

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