Exponents in math

Question

5 ⁴ X 7^{4 =}

Answer 1

Although this question can be answered by brute force, we can try to simplify the number of calculations we need by doing the following:

5⁴ * 7⁴ = (5*7)⁴ = ((5*7)²)² = (35²)² = 1225² = 1500625

Note that we use the fact that (a^b)^c = a^b*c