1961 AHSME Problems/Problem 9

Let $r$ be the result of doubling both the base and the exponent of $a^b$, $b\not=0$. If $r$ equals the product of $a^b$ by $x^b$, then $x$ equals: These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. AMC Logo.png