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