Question

Simplify (4^7/5^2)^3

Answer 1

281474976.7

Explanation:

4⁷=16384

5²=25

16384/25=655.36

(655.36)³=281474976.7

Answer 2

4²¹/5⁶ or 4398046511104/15625

Explanation:

Remember, when raising a term with an exponent to some power, you must multiply the powers.

`((4^(7) )/(5^(2) ))^(3) \\\\ = (((4^(7))^(3) )/((5^(2))^(3) )) \\\\= (4^(7 * 3) )/(5^(2* 3) ) \\\\= (4^(21) )/(5^(6) ) \\\\=(4398046511104)/(15625)`