What is the value of $$r^{-\frac{m}{n}}$$ ?

$$r^{-\frac{m}{n}} = \frac{1}{r^{\frac{m}{n}}}$$ , which means the reciprocal of the positive fractional exponent.

If $$x^{\frac{3}{2}}$$ is given, how can it be expressed in radical form?

@@x^{rac{3}{2}} = oot{2}{x^3}@@.

What is the result of $$\frac{a^{\frac{1}{2}}}{b^{\frac{1}{2}}}$$ ?

@@rac{a^{rac{1}{2}}}{b^{rac{1}{2}}} = rac{ oot{2}{a}}{ oot{2}{b}} = oot{2}{rac{a}{b}}@@.

How do you handle negative fractional exponents?

Negative fractional exponents indicate reciprocals. For example, $$x^{-\frac{3}{4}} = \frac{1}{x^{\frac{3}{4}}}$$ .

What is $$r^{\frac{0}{n}}$$ equal to?

$$r^{\frac{0}{n}} = 1$$ for any non-zero r.

How do you multiply expressions with fractional exponents?

When multiplying, add the exponents: $$a^{\frac{m}{n}} \times a^{\frac{p}{q}} = a^{\frac{m}{n} + \frac{p}{q}}$$ .

What is @@ oot[3]{x^6}@@ expressed as a fractional exponent?

@@ oot[3]{x^6} = x^{rac{6}{3}} = x^2@@.

How do you divide expressions with fractional exponents?

When dividing, subtract the exponents: $$\frac{a^{\frac{m}{n}}}{a^{\frac{p}{q}}} = a^{\frac{m}{n} - \frac{p}{q}}$$ .

What is the significance of the denominator in a fractional exponent?

The denominator indicates the root. For example, in $$r^{\frac{m}{n}}$$ , n is the root.

Fractional Exponents

Flashcard

•

Mathematics

•

9th - 11th Grade

•

Practice Problem

•

Hard

•

CCSS

HSN.RN.A.2, 8.EE.A.1

Standards-aligned

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15 questions

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FLASHCARD QUESTION

Front

What is a fractional exponent?

Back

Tags

CCSS.HSN.RN.A.2

FLASHCARD QUESTION

Front

How do you convert a fractional exponent to a radical expression?

Back

Tags

CCSS.HSN.RN.A.2

FLASHCARD QUESTION

Front

What is the relationship between fractional exponents and roots?

Back

Tags

CCSS.HSN.RN.A.2

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

How do you simplify @@rac{1}{ oot[4]{r^5}}@@?

Back

@@rac{1}{ oot[4]{r^5}} = r^{-rac{5}{4}}@@.

Tags

CCSS.HSN.RN.A.2

FLASHCARD QUESTION

Front

Back

@@4^{rac{2}{7}} = oot[7]{4^2}@@.

Tags

CCSS.HSN.RN.A.2

FLASHCARD QUESTION

Front

Back

It represents the nth root of r raised to the m power.

Tags

CCSS.HSN.RN.A.2

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