2^5+(5^2*2^3)?

1 Answer
Mar 23, 2018

The result is #232#.

Explanation:

First, compute the exponents, then multiply them. Lastly, add together the two parts. The process will look like this:

#color(white)=color(green)(2^5)+(color(red)(5^2)*color(blue)(2^3))#

#=color(green)(2^5)+(color(red)(5*5)*color(blue)(2*2*2))#

#=color(green)(2^5)+(color(red)25*color(blue)(4*2))#

#=color(green)(2^5)+(color(red)25*color(blue)8)#

#=color(green)(2^5)+color(purple)200#

#=color(green)(2*2*2*2*2)+color(purple)200#

#=color(green)(4*2*2*2)+color(purple)200#

#=color(green)(8*2*2)+color(purple)200#

#=color(green)(16*2)+color(purple)200#

#=color(green)(32)+color(purple)200#

#=color(brown)232#

That's the result. We can check our answer using a calculator:

https://www.desmos.com/calculator