Learn how to divide two exponents with fractional powers

Learn how to divide two exponents with fractional powers

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers exponent rules, focusing on multiplication and division of powers with the same base. It explains how to subtract exponents when bases differ, using the least common denominator (LCD) to handle fractions. The tutorial also demonstrates converting negative powers to positive and representing them as radicals.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation do you perform on the exponents when dividing powers with the same base?

Add the exponents

Multiply the exponents

Subtract the exponents

Divide the exponents

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it necessary to find a common denominator when adding or subtracting fractions?

To make the fractions equal

To convert fractions to decimals

To ensure the fractions have the same base

To simplify the fractions

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the least common denominator (LCD) of the fractions 1/5 and 2/3?

10

15

3

5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can a negative exponent be represented as a positive power?

By subtracting 1 from the exponent

By taking the reciprocal of the base

By adding 1 to the exponent

By multiplying the base by itself

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How would you express 2 to the power of -7/15 as a radical?

The 15th root of 2 to the 7th power

The 7th root of 2 to the 15th power

The 15th power of 2 to the 7th root

The 7th power of 2 to the 15th root