Question

(5 raised by 3 bracket close raise to power 2 x 5 raise to power minus 2 ​

Answer 1

Given :  5 raised by 3 bracket close raise to power 2 x 5 raise to power minus 2 ​

(5³)² x 5⁻²

To find : Simplify

Solution:

(5³)² x 5⁻²

(xᵃ)ᵇ = xᵃᵇ

x = 5

a = 3

b = 2

=> ab = 3 * 2 = 6

= 5⁶ x 5⁻²

xᵃ * xᵇ  = xᵃ⁺ᵇ

x = 5

a = 6

b = -2

a + b = 6 + (-2) = 4

= 5⁴

= 625

(5³)² x 5⁻²  =  5⁴  = 625

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