16Hit1600
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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