Simplifying an expression with negative, positive exponents and one with 0

Simplifying an expression with negative, positive exponents and one with 0

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to divide two functions, F(x) and G(x), and simplify the result using exponent rules. It covers the basic operations of exponents, such as adding powers when multiplying, subtracting powers when dividing, and handling negative exponents. The tutorial emphasizes the importance of converting negative exponents to positive ones and provides a step-by-step simplification process, resulting in a final expression.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in dividing two functions, F(x) and G(x)?

Add the functions together

Multiply the functions together

Subtract G(x) from F(x)

Place F(x) over G(x) as a fraction

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When multiplying exponents with the same base, what should you do with the powers?

Subtract the powers

Add the powers

Divide the powers

Multiply the powers

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of any number raised to the zero power?

One

Zero

The number itself

Negative one

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you convert a negative exponent to a positive one?

Take the reciprocal of the base

Subtract one from the exponent

Multiply the base by itself

Add one to the exponent

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of Y to the negative 5th power?

5Y

Y^-5

Y^5

1/Y^5