Write (10^2)^-3 as a power of 10 with a single exponent. Be prepared to explain your reasoning.

Step-by-step explanation:

Represent the equation as follows:

Where a,b and c are decimal numbers

To solve further, we make use of trial by error method

Let

Such that

This set of digits do not follow the rule in the question

Let

The result has only 2 non zeros (4 and 8)

Hence

answers the question.

However, there are other set of numbers that can be used too