Common Algebra Mistakes
Fragment: Order of Operations with Exponential Expression

The Mistake Fragment

Find the algebra mistake:

mistake


Need a hint? Look carefully at the red part of the algebra:

mistake


The Correction

correction


An Explanation

The 10 cannot be combined with the 1.3 since the 1.3 is raised to the power t while the 10 is not. The order of operations rules mean that 1.3 is raised to the power t first and then the result is multiplied by 10. The 10 and the 1.3 could be combined if both were raised to a common power, as follows:

formula

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