16Hit1600
Advanced MathVery hardSimplifying a difference of powers of two

Advanced Math practice question

The expression (2¹⁰ − 2⁸)/2⁷ is equal to a whole number. What is that number?

Answer: 6

Factor 2⁸ from the numerator: 2⁸(4 − 1)/2⁷ = 2 × 3 = 6.

Common wrong answers

If you answered 3
3 forgets the leftover factor of 2.
If you answered 4
4 is 2¹⁰/2⁸, dividing the terms instead of subtracting them.
If you answered 8
8 is 2¹⁰/2⁷ alone, forgetting the subtraction.

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