What is $$m^{a} \times m^{b}$$ ?

$$m^{a+b}$$ (When multiplying two powers with the same base, add the exponents.)

What is $$m^{a} \times n^{a}$$ ?

$$(mn)^{a}$$ (When multiplying two different bases with the same exponent, multiply the bases and keep the exponent.)

What is $$m^{a} \times m^{0}$$ ?

$$m^{a}$$ (Any number raised to the power of zero is equal to one, but the base remains unchanged.)

What is $$m^{a} \times m^{-b}$$ ?

$$\frac{m^{a}}{m^{b}}$$ (When multiplying a positive exponent by a negative exponent, subtract the exponents.)

What is $$\frac{m^{a}}{m^{b}}$$ ?

$$m^{a-b}$$ (When dividing two powers with the same base, subtract the exponents.)

What is $$ig(m^{a}ig)^{b}$$ ?

$$m^{ab}$$ (When raising a power to another power, multiply the exponents.)

What is $$(-4x)^{0}$$ ?

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

What is $$m^{\frac{1}{2}}$$ ?

The square root of m (This represents the square root of a number, where the exponent is a fraction.)

$$\frac{1}{m^{a}}$$ (A negative exponent indicates the reciprocal of the base raised to the positive exponent.)

What is $$ig(2x^{5}y^{4}ig)^{3}$$ ?

$$8x^{15}y^{12}$$ (When raising a product to a power, raise each factor to that power.)

What is $$m^{\frac{2}{7}} \times m^{\frac{3}{7}}$$ ?

$$m^{\frac{5}{7}}$$ (When multiplying powers with the same base, add the exponents.)

What is $$ig(-4x^{5}ig)^{0}$$ ?

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

What is $$ig(m^{\frac{1}{2}}ig)^{4} \times m^{3}$$ ?

$$m^{5}$$ (Apply the power of a power rule and then add the exponents.)

Law of Exponents Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Law of Exponents?

Back

The Law of Exponents refers to the rules that govern how to handle mathematical operations involving powers or exponents. It includes rules for multiplying, dividing, and raising powers to powers.

Tags

CCSS.8.EE.A.1

2.

FLASHCARD QUESTION

Front

Back

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CCSS.8.EE.A.1

3.

FLASHCARD QUESTION

Front

Back

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CCSS.8.EE.A.1

4.

FLASHCARD QUESTION

Front

Back

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CCSS.8.EE.A.1

5.

FLASHCARD QUESTION

Front

Back

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CCSS.8.EE.A.1

6.

FLASHCARD QUESTION

Front

Back

The nth root of m (This represents the root of a number, where the exponent is a fraction.)

Tags

CCSS.HSN.RN.A.2

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.A.1

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