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x^{1}=-\left(\frac{1}{2}\right)^{5}
To raise a power to another power, multiply the exponents. Multiply \frac{1}{5} and 5 to get 1.
x=-\left(\frac{1}{2}\right)^{5}
Calculate x to the power of 1 and get x.
x=-\frac{1}{32}
Calculate \frac{1}{2} to the power of 5 and get \frac{1}{32}.