Multiplication and division of powers

When the bases are the same, you can combine exponents:

a^m\cdot a^n=a^{m+n}

a^m:a^n=a^{m-n}

(for

a\neq0

). The base stays the same; only the exponent changes.

When multiplying powers, add the exponents

When dividing powers, subtract the exponents

These rules apply only when the base is the same

Rewriting expressions

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