Exponents

Question 1

What is a Exponent?

Answer 1

A shortform used to represent multiplication

Question 2

What are the two components of a power?

Answer 2

The Exponent and the Base

The base is the large number and the exponent is the smaller number above it.

Question 3

What does it mean to expand a power?

Answer 3

Multiply the base by itself the number of times the exponent says

Example: 24

2x2x2x2

Question 4

What does the term Squared tell us about an exponent?

Answer 4

The power is a number to the power of 2.

?²

Question 5

Exponent Rules:

What happens if a number is raised to the power of zero?

Answer 5

The answer is 1.

Example: 5⁰

=1

Question 6

​Exponent Rules:

What happens if a number is raised to the power of one?

Answer 6

The answer is the base

Example: 5¹

=5

Question 7

Multiplying Powers With The Same Base:

What do you do when multiplying powers with the same base?

Answer 7

Keep the base and add the exponents.

Example: 2²x2³

=2⁵

Question 8

Dividing Powers With The Same Base:

What happens when dividing powers with the same base?

Answer 8

Keep the base and subtract the exponents.

Example: a¹⁰/ a⁴

=a⁶

Question 9

Powers Raised To An Exponent:

What happens when you have an exponent in brackets with an exponent raised to it?

(2³)²

Answer 9

Keep the base and multiply the exponents.

Example: (2³)²

= 2⁶

Question 10

A Fraction Raised To An Exponent:

What happens when you have a fraction in brackets with an exponent raised to it?

(1/4)²

Answer 10

The exponent is applied to both the numerator and denominator.

Example: 1/4²

1²/4²= 1/16

Question 11

Multiplying Powers With a Different Base:

What do you do when multiplying two powers with different bases?

Answer 11

Multiply the the coefficients and add the exponents.

Example: 2y³ x 3y⁵

=6y⁸

Question 12

Dividing Powers With a Different Base:

What do you do when dividing two powers with different bases?

Answer 12

Divide the coefficients and subtract exponents.

Example: 16b⁶/4b

=4b⁵