What is #2^2 - 4^1 + 2^3#?
1 Answer
Apr 10, 2016
Explanation:
Recall that when you have a number to an exponent, that means you're multiplying the number by itself "exponent" times.
For example:
#color(red)2^color(blue)2# means to multiply#color(red)2# by itself#color(blue)("two")# times#color(red)4^color(blue)1# means to multiply#color(red)4# by itself#color(blue)("once")# #color(red)2^color(blue)3# means to multiply#color(red)2# by itself#color(blue)("three")# times
Thus:
#color(red)2^2-color(darkorange)4^1+color(blue)2^3#
#=(color(red)2xxcolor(red)2)-(color(darkorange)4)+(color(blue)2xxcolor(blue)2xxcolor(blue)2)#
Simplify the brackets.
#=(4)-(4)+(4xx2)#
#=(4)-(4)+(8)#
Solve.
#=0+8#
#=color(green)(|bar(ul(color(white)(a/a)8color(white)(a/a)|)))#
