What is the area of a rectangle with sides $$7x^3y^8z^4$$ and $$10x^2y^8z^3$$ ?

$$70x^{5}y^{16}z^{7}$$ (Area = length × width) using exponent rules.

What is the value of $$\frac{x^5}{x^2}$$ ?

$$x^{3}$$ (Subtract the exponents).

What does $$(xy)^3$$ equal?

$$x^3y^3$$ (Apply the power of a product rule).

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

$$8x^6$$ (Apply the power of a power rule).

What is the area of a rectangle with sides $$5x^2y^3$$ and $$4xy^2$$ ?

$$20x^{3}y^{5}$$ (Area = length × width) using exponent rules.

What is $$x^{-n}$$ equal to?

$$\frac{1}{x^n}$$ (Negative exponent rule).

What is the value of $$x^2 \times x^{-3}$$ ?

$$\frac{1}{x}$$ (Add the exponents: 2 + (-3) = -1).

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

$$9x^4y^2$$ (Apply the power of a product rule).

What is the value of $$\frac{(x^2y^3)^2}{xy}$$ ?

$$x^{3}y^{5}$$ (Apply the power of a power rule and quotient rule).

Exponent Product And Power Rules

Exponent Product and Power Rules

Flashcard

•

Mathematics

•

8th - 9th Grade

•

Practice Problem

•

Hard

•

CCSS

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

Standards-aligned

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FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

What is the power of a product rule?

Back

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

What is the power of a power rule?

Back

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.APR.A.1

FLASHCARD QUESTION

Front

Back

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

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

What is the quotient rule for exponents?

Back

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CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.A.1

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