Learn how to apply the quotient rule to simplify an expression with rational powers

Learn how to apply the quotient rule to simplify an expression with rational powers

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to handle negative exponents by converting them into positive exponents. It introduces the concept of rewriting expressions to eliminate negative exponents, using reciprocal relationships, and applying the power to product rule. The tutorial provides a step-by-step example, emphasizing the importance of presenting answers with positive exponents.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial step suggested by the teacher to handle negative exponents?

Convert all exponents to zero.

Rewrite the expression with positive exponents at the end.

Add more negative exponents.

Ignore the negative exponents.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can a negative exponent be made positive according to the teacher?

By subtracting the exponent from itself.

By moving the term to the opposite part of the fraction.

By multiplying the exponent by zero.

By adding a constant to the exponent.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reciprocal relationship mentioned in the context of exponents?

It refers to adding exponents together.

It is about dividing exponents by a constant.

It involves multiplying exponents by two.

It means switching the position of terms between numerator and denominator.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What rule is applied to simplify the expression with positive exponents?

The division rule.

The power to product rule.

The subtraction rule.

The addition rule.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When multiplying fractions, what should be done with the number 12 in the numerator?

Subtract 4 from it.

Multiply it by 4.

Divide it by 4.

Add 4 to it.