Step-by-step explanation:
Simplify the following:
(((-3)/4)^5)^2
Multiply exponents. (((-3)/4)^5)^2 = ((-3)/4)^(5×2):
((-3)/4)^(5×2)
5×2 = 10:
((-3)/4)^10
((-3)/4)^10 = (-3)^10/4^10:
(-3)^10/4^10
(-3)^10 = (-1)^10×3^10 = 1×3^10:
3^10/4^10
4^10 = (4^5)^2 = (4×4^4)^2 = (4 (4^2)^2)^2:
3^10/(4 (4^2)^2)^2
4^2 = 16:
3^10/(4×16^2)^2
3^10/(4×256)^2
4×256 = 1024:
3^10/1024^2
3^10/1048576
Answer=3^10 / 2^20
Answer:87.63
