Use the product rule: (a^m cdot a^n = a^{m+n})
Use the quotient rule: (a^m div a^n = a^{m-n})
Use the power rule: ((a^m)^n = a^{mn})
Use the zero exponent rule: (a^0 = 1) for (a neq 0)
Use the negative exponent rule: (a^{-n} = frac{1}{a^n})
Rewrite expressions with the same base
Combine exponents when multiplying like bases
Subtract exponents when dividing like bases
Multiply exponents when raising a power to a power
Convert negative exponents to fractions
Simplify each part of the expression before comparing
Check whether different forms have the same base and exponent value
Use exponent rules to rewrite both expressions in a common form
Verify equivalence by simplifying both expressions to the same result