Grade 8 Exponents: Product Rule

Worked examples

Real problems from the practice worksheets, solved one step at a time.

1. Example 1

   10⁴ × 10³ = 10ⁿ. What is n?

   1. Same base, multiplying: add the exponents: 4 + 3 = 7.
   2. So 10⁴ × 10³ = 10⁷, which means n = 7.

   Answer: 7

2. Example 2

   7³ × 7⁹ = 7ⁿ. What is n?

   1. Same base, multiplying: add the exponents: 3 + 9 = 12.
   2. So 7³ × 7⁹ = 7¹², which means n = 12.

   Answer: 12

3. Example 3

   6² × 6⁴ = 6ⁿ. What is n?

   1. Same base, multiplying: add the exponents: 2 + 4 = 6.
   2. So 6² × 6⁴ = 6⁶, which means n = 6.

   Answer: 6