Question

What is the product of 5 to the power of 3 and 25?

Answer 1

Convert the worded expression to algebra
       let the product = x

       (5³)  ×  25  =  x
write 25 as a base of 5 to a power
       (5³)  ×  (5²) =  x
      
using the laws of indices
  x  =  5$^{3 + 2}$
      =  5⁵

product therefore is =  3125