# Test: Indices - Normal

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Question 1:   Simplify: $x\cdot x$
${x}^{2}$
$2x$
${2}^{x}$
${x}^{1}$
Question 2:   Simplify: ${x}^{3}:{x}^{2}$
${x}^{\frac{2}{3}}$
${x}^{2}$
${x}^{\frac{3}{2}}$
$x$
Question 3:   Simplify: ${y}^{2}\cdot {y}^{3}\cdot y$
${y}^{7}$
${y}^{8}$
${y}^{5}$
${y}^{6}$
Question 4:   Simplify: $\frac{{x}^{5}}{{x}^{12}}$
${x}^{17}$
$\frac{1}{{x}^{7}}$
$\frac{5}{{x}^{12}}$
${x}^{\frac{1}{7}}$
Question 5:   Simplify: ${\left(\frac{{x}^{2}}{{x}^{3}}\cdot {x}^{4}\right)}^{2}$
${x}^{-6}$
$\frac{1}{x}$
${x}^{5}$
${x}^{6}$
Question 6:   Simplify: $2{x}^{3}:{x}^{5}$
$\frac{2}{{x}^{2}}$
${x}^{\frac{1}{2}}$
$\frac{1}{{x}^{2}}$
$\frac{2}{x}$
Question 7:   Solve: ${4}^{\frac{1}{2}}+{9}^{\frac{1}{2}}$
$\sqrt{5}$
$5$
$13$
${13}^{\frac{1}{2}}$
Question 8:   Solve: ${5}^{2}+{5}^{1}+{5}^{0}$
$30$
$15$
$31$
$26$
Question 9:   Solve: ${4}^{-1}+{4}^{-\frac{1}{2}}$
$\frac{1}{2}$
$\frac{1}{4}$
$\frac{3}{4}$
$0$
Question 10:   Solve: ${8}^{\frac{2}{3}}+{8}^{\frac{1}{3}}$
$4$
$6$
$16$
$8$