SME
Grade 6 Math · Problem type
Powers and exponents
Use this for “Find the value of 3⁴.”
Table
Exponent
Value
This is an example. Type your own values to start a new problem.
b
=
p
Formulas
3
4
=
81
The base used as a factor, the exponent times = value
Assumptions
•
The exponent counts how many times the base is a factor: 3⁴ is 3 × 3 × 3 × 3, not 3 × 4.
•
Any base to the exponent 1 is the base.
•
Bases from 0 to 20 in halves; exponents from 1 to 6.
Step-by-step
WE KNOW
Base: 3
Exponent: 4
FIND
value
Step 1 · Find value
3
4
=
?
The base used as a factor, the exponent times = value
Write the base 4 times as a factor, then multiply.
3
4
=
3
×
3
×
3
×
3
Value = 81
Check
Put the numbers back in. Both sides should match.
3
4
=
81
✓
Topic check
See what you know: 5 questions on this topic
New questions each time. Pass to mark it complete.
Refresh
Related lessons
Numerical and algebraic expressions
Main lesson
Order of operations with exponents
Use this for “Find the value of 4 + 5 × 2³”: exponents first, then multiply, then add.
Equivalent algebraic expressions
Use this for “Are 3(2 + x) and 6 + 3x equivalent?”
Relationships between two variables
Use this for “She earns $12 an hour. Write an equation for pay and hours.”
Write algebraic expressions
Use this for “Write an expression for 5 less than a number.”
Parts of an algebraic expression
Use this for “In 2c + 4, what is the coefficient? The constant?”