Final answer:
To simplify (3⁴)⁵ with a single exponent, multiply the inside exponent (4) by the outside exponent (5) to get 3¹⁵, which can't be simplified further.
Step-by-step explanation:
To simplify the expression (3⁴)⁵ so it has a single exponent, we apply the power of a power rule. This rule tells us that when you raise a power to another power, you multiply the exponents. For our example, we would multiply the exponent 4 inside the parentheses by the exponent 5 outside the parentheses.Here is the step-by-step explanation:Start with the expression (3⁴)⁵.Multiply the exponents: 4 × 5 = 20.The simplified expression is 3¹⁵.No further simplification is possible as 3¹⁵ is already in its simplest form with a single exponent.