Exponents Worksheet

Multiplication Exponents Worksheet

One of the fundamental rules of exponents is the product rule, which states that when multiplying two powers with the same base, we can add their exponents. In this multiplication exponents worksheet, we will practice using the product rule to simplify expressions.

Expression	Simplified
2^3 × 2^4	2^(3+4)
5^2 × 5^3	5^(2+3)
10^4 × 10^2	10^(4+2)

Answers:

1. 2^3 × 2^4 = 2^(3+4) = 2^7, which is equivalent to 2 × 2 × 2 × 2 × 2 × 2 × 2, or 128.
2. 5^2 × 5^3 = 5^(2+3) = 5 × 5 × 5 × 5 × 5, or 3125.
3. 10^4 × 10^2 = 10^(4+2) = 10 × 10 × 10 × 10 × 10 × 10, or 1000000.