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06-10-2016
Mathematics

Answered

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

Verified Answer :

JoshEast JoshEast

08-10-2016

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

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