Question

The value of :- [2-3(2-3)-¹]-¹

Answer 1

Given,

An expression: [2-3(2-3)-¹]-¹

To find,

The simplified value of the expression.

Solution,

We can simply solve this mathematical problem using the following process:

Mathematically,

If a, b, and x are three numbers, then,

(a/b)^(-x) = (b/a)^(x) = {(b)^(x)}/{(a)^(x)}{Statement-1}

Now, according to the question;

On simplifying the given expression, we get;

[2-3(2-3)-¹]-¹

= [2-3×(-1)-¹]-¹

= [2-3×{(1)¹/(-1)¹}]-¹

{according to statement-1}

= [2-3×{1/(-1)}]-¹

= [2-3×(-1)]-¹

= [2+3]-¹

= [5]-¹

= (1/5)¹

{according to statement-1}

= 1/5

Hence, the simplified value of the expression is equal to (1/5).