Using P E DM AS
Evaluate:
#color(white)("XXX")#Parentheses first
#color(white)("XXXXXX")#for the given example
#color(white)("XXXXXX")#parentheses are only used to clarify multiplication.
#color(white)("XXX")#Exponentiation next
#color(white)("XXX")#Division and Multiplication next (left to right)
#color(white)("XXX")#Addition and Subtraction last (left to right)
Because of the "left-to-right" requirement we will first convert the given expression into a linear form:
#color(white)("XXX")(10+2(-5)^2)/((2^2)(3))#
#color(white)("XXXXXX")=(10+2(-5)^2) div ((2^2)(3))#
#color(white)("XXXXXX")=(10+2 * 25) div((2^2)(3))#
#color(white)("XXXXXX")=(10+50) div ((2^2) (3))#
#color(white)("XXXXXX")=60 div ((2^2)(3))#
#color(white)("XXXXXX")=60 div (4 * 3)#
#color(white)("XXXXXX")=60 div 12#
#color(white)("XXXXXX")=5#