Final answer:
The expression (10¹/⁴)⁴ simplifies to 10¹, which equals 10.
Step-by-step explanation:
The expression given is (101/4) x (101/4) x (101/4) x (101/4). To simplify this expression, we use the property of exponents that states when multiplying powers with the same base, we add the exponents. So, we would add up the exponents 1/4 four times.
101/4 + 101/4 + 101/4 + 101/4 = 101/4 + 1/4 + 1/4 + 1/4 = 101
The sum of the exponents is equal to 1, therefore, the expression simplifies to 10 to the first power, which is just 10.