What is a power?
A power is an expression made up of a base and an exponent
5 to the exponent of 2 is a power
The Base is the number you multiply by itself in the power (5)
The Exponent is the number of times you multiply the base in a power (2)
So, 5 x 5 = 25. 5^2= 25
Exponential Form
Is a shorter way of writing repeated multiplication, using a base and an exponent
-5 x 5 x 5 x 5 in exponential form is 5^4
A power is an expression made up of a base and an exponent
5 to the exponent of 2 is a power
The Base is the number you multiply by itself in the power (5)
The Exponent is the number of times you multiply the base in a power (2)
So, 5 x 5 = 25. 5^2= 25
Exponential Form
Is a shorter way of writing repeated multiplication, using a base and an exponent
-5 x 5 x 5 x 5 in exponential form is 5^4
Multiplying powers with the same base
When bases are the same, add the exponents
2 ^3 and 2 ^2 = (2 x 2 x 2) x (2 x 2) =2 ^5 = 32
Since the bases are the same, you can add the exponents.
2^3 x 2^2 = 2^2+^3 = 2^5 = 32
2 ^3 and 2 ^2 = (2 x 2 x 2) x (2 x 2) =2 ^5 = 32
Since the bases are the same, you can add the exponents.
2^3 x 2^2 = 2^2+^3 = 2^5 = 32
Evaluate expressions using powers.
Brackets
Exponents
Division
Multiplication
Addition
Subtraction
(-3 + 6)^2 - 4 x 3^2
=3^2 - 4 x 3^2
=9 - 4 x 9
=5 x 9
=45
Brackets
Exponents
Division
Multiplication
Addition
Subtraction
(-3 + 6)^2 - 4 x 3^2
=3^2 - 4 x 3^2
=9 - 4 x 9
=5 x 9
=45
- Powers are found in many formulas. When repeated multiplication is present in a formula, it is represented as a power. The use of powers keeps the formula as short as possible
- Many patterns that involve repeated multiplication can be modeled with expressions that contain powers.