Simplify: $$x^{\frac{2}{5}} \times x^{-\frac{9}{5}}$$

$$\frac{1}{x^{\frac{7}{5}}}$$ .

An exponent indicates how many times a number (the base) is multiplied by itself.

What does a negative exponent represent?

A negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent: $$a^{-n} = \frac{1}{a^n}$$ .

What does zero exponent mean?

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

What is the significance of positive exponents?

Positive exponents indicate the number of times the base is multiplied by itself, resulting in a positive value.

How do you simplify expressions with exponents?

Use the exponent rules (product, quotient, power of a power, etc.) to combine and reduce the expressions.

Exponent Rules

Flashcard

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Mathematics

•

9th Grade

•

Practice Problem

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Easy

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CCSS

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

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the product rule for exponents?

Back

Tags

CCSS.8.EE.A.1

2.

FLASHCARD QUESTION

Front

What is the quotient rule for exponents?

Back

Tags

CCSS.8.EE.A.1

3.

FLASHCARD QUESTION

Front

What is the power of a power rule?

Back

Tags

CCSS.8.EE.A.1

4.

FLASHCARD QUESTION

Front

What is the power of a product rule?

Back

Tags

CCSS.8.EE.A.1

5.

FLASHCARD QUESTION

Front

What is the power of a quotient rule?

Back

Tags

CCSS.8.EE.A.1

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.A.1

7.

FLASHCARD QUESTION

Front

Back

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