Simplify: 2³ × 2⁴.

When multiplying powers with the same base, add the exponents: 2³ × 2⁴ = 2^(3+4) = 2⁷. This is the product rule for exponents. Do not multiply the exponents (that rule applies to a power raised to a power) and do not change the base. So 2⁷ = 128 if you compute it out, but in simplified exponential form the answer is 2⁷. The common mistakes are adding the bases or multiplying the exponents; remember: same base, multiply the terms, add the exponents.