Use the propertie

A.

⇒ 4 can be written as 2².

⇒

=

We know that by properties of exponents,

⇒

∴

B. 4^n-1

We know that by properties of exponents,

⇒ 4^n-1 =

=

∴ 4^n-1 =

C. 25 (5^n-2)

⇒ 25 can also be written as 5².

⇒ 25 (5^n-2) = 5² (5^n-2)

We know that by properties of exponents, a^m × aⁿ = a^{m + n}.

⇒ 5² (5^n-2) = 5^{2 + (n-2)}

= 5^{2 + n-2}

= 5ⁿ

∴ 25 (5^n-2) = 5ⁿ