Simplify Powers of 6: 6²×6⁵×6 Multiplication Problem

Any number without a visible exponent has an implied exponent of 1. Just like 6 = 6¹, because 6 appears once as a factor. This is why $6^2 × 6^5 × 6$ becomes $6^{2+5+1}$.

You cannot combine exponents when bases are different! For example, $5^2 × 6^3$ stays as is. The exponent addition rule only works when all bases are identical.

Multiplying powers: add exponents ($a^m × a^n = a^{m+n}$)
Power of a power: multiply exponents ($(a^m)^n = a^{m×n}$)
Look for × between terms vs parentheses around powers!

You could calculate $36 × 7776 × 6$, but that's much harder! Using exponent rules keeps numbers manageable and shows mathematical understanding. The answer $6^8$ is cleaner than 1,679,616.

$6^8 = 1,679,616$. But in most problems, leaving the answer as $6^8$ is preferred because it's simplified form and shows the pattern clearly.