Advanced MathHardExponent of a product of powers of two
Advanced Math practice question
For all values of x, 2ˣ · 2ˣ⁺¹ = 2ᵏ, where k is an expression in x. If x = 3, what is the value of k?
Answer: 7
2ˣ · 2ˣ⁺¹ = 2^(2x + 1), and at x = 3 that exponent is 7.
Common wrong answers
- If you answered 4
- 4 uses only x + 1.
- If you answered 6
- 6 uses 2x without the +1.
- If you answered 12
- 12 multiplies the exponents 3 and 4.
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