Using exponents to describe numbers

A number in exponential form has two components, the base and the exponent. The base is the bigger number on the left, and the exponent is the smaller number at the top right hand corner of the base. When you multiply the same number two times or more, you may express it in exponential form.

Basic concepts:
Understanding integer multiplication
Multiplying integers

Related concepts:
Product rule of exponents
Quotient rule of exponents
Power of a product rule
Power of a quotient rule

Lessons

1.
Write in exponential notation, and calculate.

5.
Write 16 as a power where the exponent is 4 and the base is:

Repeated Multiplication	Exponential Form	Value
9 × 9 × 9 × 9	${9^4}$	____
2 × 2 × 2	____	____
___________	____	25
___________	____	216
___________	${12^3}$	____

Repeated Multiplication	Exponential Form	Value
(-6) × (-6) × (-6) × (-6)	${\left( { - 6} \right)^4}$	____
(-8) × (-8) × (-8)	${\left( { - 8} \right)^3}$	____
(-1) × (-1) × (-1)	____	____
___________	${\left( { - 9} \right)^2}$	____
___________	____	-1024

Using exponents to describe numbers

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Intro

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Practice

Do better in math today

Don't just watch, practice makes perfect.

Do better in math today

Don't just watch, practice makes perfect.

Lessons

1.

Write in exponential notation, and calculate.

a)

5 × 5

b)

4 × 4 × 4

c)

6 × 6 × 6 × 6 × 6

d)

8 × 8 × 8 × 8 × 8 × 8 × 8

2.

3.

4.

The side length of the cube below is 5 cm. Write the volume of the cube in repeated multiplication form and as a power.

5.

Write 16 as a power where the exponent is 4 and the base is:

a)

negative

b)

positive

Don't just watch, practice makes perfect.

Using exponents to describe numbers

Don't just watch, practice makes perfect.

We have over 990 practice questions in Grade 7 Math for you to master.

Basic Math
Understanding integer multiplication

Basic Math
Multiplying integers

or