Understanding Exponents and Powers

Understanding Exponents and Powers

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains the concept of negative exponents, specifically why X to the negative 1 equals 1 over X. It provides a proof by rewriting 1 as X to the 0 power and using the property of exponents that allows subtraction of powers when dividing. The tutorial then generalizes this concept to any negative exponent, showing that X to the negative a equals 1 over X to the a. The video concludes with an invitation to explore further resources on related topics.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does X to the negative 1 power represent?

X squared

1 over X

X

X to the power of 0

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of the video according to the narrator?

To entertain the audience

To confuse the audience

To prove why X to the negative 1 equals 1 over X

To discuss unrelated topics

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it useful to rewrite X as X to the 1 power?

To express everything in terms of X

To change the value of X

To simplify calculations

To make equations more complex

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in proving X to the negative 1 equals 1 over X?

Rewrite X as X squared

Rewrite X as X to the 1 power

Rewrite X as X to the 0 power

Rewrite X as X to the negative 1 power

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can 1 be rewritten in terms of X?

X to the 0 power

X to the negative 1 power

X to the 1 power

X squared

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of subtracting the exponent in the denominator from the exponent in the numerator?

The quotient of the exponents

The difference of the exponents

The product of the exponents

The sum of the exponents

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does 1 over X equal in terms of exponents?

X to the negative 1 power

X to the 1 power

X squared

X to the 0 power

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