16Hit1600
Advanced MathMediumExponential equation with a fractional result

Advanced Math practice question

If 4ˣ = 1/16, what is the value of x?

Answer: -2 or −2

1/16 = 1/4² = 4⁻², so x = −2.

Common wrong answers

If you answered 2
2 gives 4² = 16, not 1/16; a fraction below 1 needs a negative exponent.
If you answered -4
−4 gives 4⁻⁴ = 1/256.
If you answered 0.5
0.5 gives 4^(1/2) = 2.

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