36 × 36 × 36 × 36 = 6?

Law of exponents: when the same base-power term is multiplied repeatedly, express every factor in a common base, then combine using am × an = a(m+n) — equivalently, four equal factors of am combine to a(4m).

1. Rewrite the base 36 in terms of 6: 36 = 62.

2. Replace each of the four factors: 36 × 36 × 36 × 36 = 62 × 62 × 62 × 62.

3. Apply the product rule for exponents by adding the exponents of the four equal factors: 2 + 2 + 2 + 2 = 8.

4. So the product equals 68.

Equivalently, four factors of 62 multiplied together give (62)4 = 6(2×4) = 68, the same result — confirming the answer numerically as well, since 364 and 68 both equal 1,679,616.