When multiplying powers with the same base, add the exponents: (a^m cdot a^n = a^{m+n})
Keep the base the same
Add only the exponents
Example: (x^2 cdot x^5 = x^7)
Example: (3^4 cdot 3^2 = 3^6)
When multiplying powers with different bases, multiply normally: (a^m cdot b^n)
If a power is raised to another power, multiply the exponents: ((a^m)^n = a^{m cdot n})
Example: ((x^3)^4 = x^{12})
If there is a coefficient, multiply the coefficients and apply exponent rules to the variables: (2x^3 cdot 5x^2 = 10x^5)