Define the Zero Exponent Rule.

Any non-zero base raised to the power of zero equals one: $$a^0 = 1$$ .

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Math

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Product And Quotient Of Powers

Product and Quotient of Powers

Flashcard

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Mathematics

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9th Grade

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Practice Problem

•

Medium

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CCSS

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

Standards-aligned

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15 questions

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FLASHCARD QUESTION

Front

Define the Product of Powers Property.

Back

When multiplying two powers with the same base, add the exponents: $a^m \times a^n = a^{m+n}$ .

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

Define the Quotient of Powers Property.

Back

When dividing two powers with the same base, subtract the exponents: $\frac{a^m}{a^n} = a^{m-n}$ .

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

Simplify: $\frac{45x^6y^9}{5x^4y^2}$

Back

$9x^2y^7$ .

FLASHCARD QUESTION

Front

Simplify: $4x^5 \times 6x^{10}$

Back

$24x^{15}$ .

Tags

CCSS.HSA.APR.A.1

FLASHCARD QUESTION

Front

Simplify: $\frac{x^{10}}{x^2}$

Back

$x^8$ .

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

What is the result of $g^0$ ?

Back

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

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

True or False: $a^m \times a^n = a^{m+n}$ is a valid property of exponents.

Back

True.

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

What happens when you raise a power to another power?

Back

Multiply the exponents: $(a^m)^n = a^{m \times n}$ .

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

Simplify: $\frac{g^{25}}{g^{10}}$

Back

$g^{15}$ .

Tags

CCSS.8.EE.A.1

10.

FLASHCARD QUESTION

Front

What is the result of $\frac{a^m}{a^m}$ ?

Back

$1$ (Any non-zero number divided by itself is 1.)

Tags

CCSS.8.EE.A.1

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