+537 so it said to do the thing with all exponents positive and I did but I don't know how far I need to go
(4x^0y^2m)^-2(2y^-4m^0x)^4
(4^-2y^-4m^-2)(2^46^-16x^4)
(1/16y^4m^2)(16x^4/y^16)
do I cansel out the 16s? I'm confused
Simplify the following:
(((2 m^0 x)/y^4)^4)/((4 x^0 y^2 m)^2)
x^0 = 1:
(((2 m^0 x)/y^4)^4)/((4 y^2 m)^2)
Multiply each exponent in 4 y^2 m by 2:
(((2 m^0 x)/y^4)^4)/(4^2 y^(2×2) m^2)
2×2 = 4:
(((2 m^0 x)/y^4)^4)/(4^2 y^4 m^2)
4^2 = 16:
(((2 m^0 x)/y^4)^4)/(16 y^4 m^2)
m^0 = 1:
(((2 x)/y^4)^4)/(16 y^4 m^2)
Multiply each exponent in (2 x)/y^4 by 4:
((2^4 x^4)/((y^4)^4))/(16 y^4 m^2)
Multiply exponents. (y^4)^4 = y^(4×4):
(2^4 x^4)/(y^(4×4) 16 y^4 m^2)
4×4 = 16:
(2^4 x^4)/(y^16×16 y^4 m^2)
2^4 = (2^2)^2:
((2^2)^2 x^4)/(y^16×16 y^4 m^2)
2^2 = 4:
(4^2 x^4)/(y^16×16 y^4 m^2)
4^2 = 16:
(16 x^4)/(y^16×16 y^4 m^2)
(16 x^4)/(y^16×16 y^4 m^2) = x^4/(y^16 y^4 m^2):
x^4/(y^16 y^4 m^2)
Combine powers. x^4/(y^16 y^4 m^2) = (x^4 y^(-4-16))/m^2:
(x^4 y^-4-16)/m^2
-4-16 = -20:
Answer: | (x^4 y^-20)/m^2
Simplify the following:
(((2 m^0 x)/y^4)^4)/((4 x^0 y^2 m)^2)
x^0 = 1:
(((2 m^0 x)/y^4)^4)/((4 y^2 m)^2)
Multiply each exponent in 4 y^2 m by 2:
(((2 m^0 x)/y^4)^4)/(4^2 y^(2×2) m^2)
2×2 = 4:
(((2 m^0 x)/y^4)^4)/(4^2 y^4 m^2)
4^2 = 16:
(((2 m^0 x)/y^4)^4)/(16 y^4 m^2)
m^0 = 1:
(((2 x)/y^4)^4)/(16 y^4 m^2)
Multiply each exponent in (2 x)/y^4 by 4:
((2^4 x^4)/((y^4)^4))/(16 y^4 m^2)
Multiply exponents. (y^4)^4 = y^(4×4):
(2^4 x^4)/(y^(4×4) 16 y^4 m^2)
4×4 = 16:
(2^4 x^4)/(y^16×16 y^4 m^2)
2^4 = (2^2)^2:
((2^2)^2 x^4)/(y^16×16 y^4 m^2)
2^2 = 4:
(4^2 x^4)/(y^16×16 y^4 m^2)
4^2 = 16:
(16 x^4)/(y^16×16 y^4 m^2)
(16 x^4)/(y^16×16 y^4 m^2) = x^4/(y^16 y^4 m^2):
x^4/(y^16 y^4 m^2)
Combine powers. x^4/(y^16 y^4 m^2) = (x^4 y^(-4-16))/m^2:
(x^4 y^-4-16)/m^2
-4-16 = -20:
Answer: | (x^4 y^-20)/m^2
