Rational Exponents and Their Rules

Rational Exponents and Their Rules

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains that the rules for rational exponents are the same as those for general exponents. It addresses common misconceptions about fractions in exponents and provides examples of multiplying bases by adding exponents. The tutorial also covers handling fractional exponents and recaps the rules for exponents, including negative and fractional exponents. The conclusion reassures viewers that these rules apply universally, regardless of whether the exponents are whole numbers or fractions.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main reason people struggle with rational exponents?

They involve complex numbers.

They require memorizing new rules.

They involve fractions, which can be intimidating.

They are not used in real-world applications.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When multiplying bases with rational exponents, what should you do with the exponents?

Subtract them.

Multiply them.

Add them.

Divide them.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of 5^2 * 5^4?

5^2

5^8

5^4

5^6

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example 4^(1/2) * 4^(2/3), what is the first step to simplify the expression?

Find a common denominator for the exponents.

Convert to decimal form.

Multiply the exponents.

Subtract the exponents.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in simplifying 4^(1/2) * 4^(2/3)?

Find a common denominator.

Add the exponents.

Multiply the bases.

Convert to decimal.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of 4^(1/2) + 4^(2/3) when simplified?

4^(7/6)

4^(5/6)

4^(1/6)

4^(3/6)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the rule for multiplying exponents when the bases are the same?

Add the exponents.

Subtract the exponents.

Multiply the exponents.

Divide the exponents.

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