Multiplication with exponents
Key Notes :
Understanding Exponents
- Base: The number being multiplied repeatedly.
- Exponent: The number indicating how many times the base is multiplied by itself.
- Example: In 2³, 2 is the base and 3 is the exponent.
The Product Rule of Exponents
- When multiplying two numbers with the same base, add their exponents.
- Formula: aᵐ × aⁿ = aᵐ⁺ⁿ
- Example: 2³ × 2⁴ = 2⁷
Why Does It Work?
- 2³ means 2 × 2 × 2
- 2⁴ means 2 × 2 × 2 × 2
- So, 2³ × 2⁴ = (2 × 2 × 2) × (2 × 2 × 2 × 2) = 2⁷
Learn with an example
Simplify. Express your answer using positive exponents.
a3 .a3 =____.
Simplify.
a3 .a3 = a3+3 [Multiply, remembering to add the exponents]
a6
Simplify. Express your answer using positive exponents.
a3 . a5 =____.
Simplify.
a3 . a5 = a3+5 [Multiply, remembering to add the exponents]
a8
Simplify. Express your answer using positive exponents.
a2 . a5 =____.
Simplify.
a2 . a5 = a2+5 [Multiply, remembering to add the exponents]
a7
Let’s practice!🖊️
