What is the rule for multiplying powers with the same base?

Add the exponents: $$x^a \times x^b = x^{a+b}$$ .

What is the rule for dividing powers with the same base?

Subtract the exponents: $$\frac{x^a}{x^b} = x^{a-b}$$ .

What happens when you raise a power to another power?

Multiply the exponents: $$(x^a)^b = x^{ab}$$ .

What is the simplified form of $$\frac{a^3b^2}{4}$$ ?

It remains $$\frac{a^3b^2}{4}$$ , as it is already simplified.

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Math

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Properties Of Exponents (negative Exponents)

Properties of Exponents (Negative Exponents)

Flashcard

•

Mathematics

•

8th Grade

•

Practice Problem

•

Hard

•

CCSS

8.EE.A.1, 6.EE.A.1

Standards-aligned

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15 questions

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FLASHCARD QUESTION

Front

What is a negative exponent?

Back

A negative exponent indicates that the base should be taken as the reciprocal. For example, $x^{-n} = \frac{1}{x^n}$ .

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

Simplify using only positive exponents: $(3x^3)(4x^{-2})$

Back

$12x$ .

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

What is the base in the expression 5^2?

Back

The base is 5.

Tags

CCSS.6.EE.A.1

FLASHCARD QUESTION

Front

Write the expression using positive exponent: $x^{-7}$

Back

$\frac{1}{x^7}$ .

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

Simplify using only positive exponents: $(x^2y^3z^{-1})(x^3y^{-2}z^2)$

Back

$x^5yz$ .

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

What does $x^{-m}$ equal?

Back

$\frac{1}{x^m}$ .

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

What is the product of $x^a$ and $x^b$ ?

Back

$x^{a+b}$ .

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

What is the quotient of $x^a$ and $x^b$ ?

Back

$x^{a-b}$ .

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

If $a^{-3}$ is simplified, what is the result?

Back

$\frac{1}{a^3}$ .

Tags

CCSS.8.EE.A.1

10.

FLASHCARD QUESTION

Front

What is the result of $(x^{-2})(x^5)$ ?

Back

$x^{3}$ .

Tags

CCSS.8.EE.A.1

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