Tips:

5² = 5 x 5
5^-2 = ¹⁄_{(5 x 5)}
5³ x 5² = 5³⁺² = 5⁵
i.e:
= (5 x 5 x5) x (5 x5)
= 5 x 5 x5 x 5 x5
= 5⁵

5³ ÷ 5 ²
= 5^3-2
= 5¹
ie:
= (5 x 5 x 5) ÷ (5 x 5)
= ^{(5 x 5 x 5)}⁄_{(5 x 5)}
5

Now, work out in indice form the value of the following: