The correct answer to the exponential expression which is as given in the task content is; 8³.
Based on the given task content, Gina's error from her workings is dividing the bases of the exponent.
Exponential notation
- The bases of exponential expression, if same, should be taken as one.
- If the bases of exponential notation are entirely different, then it should be simplified.
- In indices, Division between two different expressions simply means Subtraction of powers.
- Multiplication means addition of powers
Gina's working:
8^12 / 8^9
= 0^12 / 0^9
The Correct workings:
8^12 / 8^9
= 8^(12-9)
= 8³
So therefore, the correct answer to the exponential expression which is given in the above expression is 8³.
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