# Test: Indices - Ambitious

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Question 1:   Find ${100000}^{\frac{1}{5}}$
$100$
$10$
$1$
$2000$
Question 2:   Find ${10}^{0}+{5}^{2}-{27}^{\frac{1}{3}}$
$-2$
$19$
$16$
$23$
Question 3:   Find ${\left({x}^{\frac{1}{2}}\right)}^{-1}\cdot {x}^{\frac{3}{4}}$, if $x=81$
$1$
$0$
$9$
$3$
Question 4:   Find ${\left({x}^{\frac{1}{5}}\right)}^{-2}+3\cdot {\left(\frac{x}{2}\right)}^{-\frac{1}{2}}$, if $x=32$
$1$
$\frac{1}{2}$
$\frac{1}{4}$
$2$
Question 5:   Find the value of $x$ in $\left({4}^{5}\cdot x+{32}^{2}\right)\cdot {2}^{5}={2}^{16}\cdot x$
$1$
$8$
$-1$
$16$
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