Learn how to divide two exponents with rational powers

Learn how to divide two exponents with rational powers

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to handle division of exponents, focusing on subtracting powers when bases are the same. It covers subtracting fractions with unlike denominators by finding common denominators. The tutorial also discusses rules for negative powers and how to simplify expressions. It demonstrates rewriting expressions with positive powers and converting them into radical expressions. Finally, it uses prime factorization to simplify the square root of 8, leading to the final answer.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step when dividing exponents with the same base?

Subtract the exponents

Divide the exponents

Multiply the exponents

Add the exponents

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When subtracting fractions with different denominators, what must you do first?

Subtract the denominators

Add the numerators

Multiply the fractions

Find a common denominator

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of subtracting 1/3 from 5/6?

-1/6

-1/2

1/2

1/6

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you rewrite a negative exponent as a positive one?

Multiply by the base

Add the exponent to the base

Place the base in the denominator

Subtract the exponent from the base

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of the square root of 8?

2

4

2√2

√4