Simplify

(4^7/5^2) ^3

281,474,976.7

Step-by-step explanation:

we have from statement:

(4^7/5^2) ^3

we can write:

4^7=4*4*4*4*4*4*4

5^2=5*5

so we have:

(4*4*4*4*4*4*4/5*5) ^3 = (16,384/25) ^3

(16,384/25) ^3 = (655.36) ^3

(655.36) ^3 = 655.36*655.36*655.36=281,474,976.7

You first multiply 7 by itself 4 times which is 2401. Then you divide by 25 because 5 to the power of 2 is 25. Then you multiply by itself 3 times which gives you 885,842.381