Advanced MathMediumShifting an exponent by a known amount
Advanced Math practice question
If 2ᵃ = 5, what is the value of 2^(a + 3)?
Answer: 40
2^(a + 3) = 2ᵃ · 2³ = 5 × 8 = 40.
Common wrong answers
- If you answered 8
- 8 adds 3 to 5, treating the exponent shift as an addition.
- If you answered 15
- 15 multiplies 5 by 3 instead of by 2³.
- If you answered 125
- 125 is 5³, cubing the value instead of multiplying by 8.
More Advanced Math questions
- Medium
What are the solutions to x² − 5x + 6 = 0? - Medium
The graph of f(x) = (x − 3)² + 4 is a parabola. What are the coordinates of its vertex? - Medium
If x² − 2x − 8 = (x + 2)(x − a), what is the value of a? - Medium
If √(x + 5) = 4, what is the value of x? - Medium
If f(x) = x + 3 and g(x) = 2x, what is f(g(4))? - Medium
What are the solutions to x² + 6x + 8 = 0?
Not affiliated with the College Board. SAT is a trademark of the College Board.