# Test: Indices II - Ambitious

Double click on maths expressions to zoom
Question 1:   Simplify expression: ${x}^{5}×{x}^{7}$
${x}^{12}$
${x}^{35}$
${x}^{2}$
${x}^{-2}$
Question 2:   Simplify: $3{x}^{-3}$
$\frac{3}{{x}^{3}}$
$\frac{x}{3}$
$\frac{{x}^{3}}{3}$
$\frac{3}{x}$
Question 3:   Find value of $400{a}^{-3}$, if $a=2$
$-500$
$-50$
$50$
$500$
Question 4:   Find value of $4{a}^{2}-4a+1$, if $a=-3$
$-49$
$490$
$49$
$4.9$
Question 5:   Calculate: ${\left(\frac{3}{5}\right)}^{2}-\frac{1}{6}{\left(1\frac{1}{5}\right)}^{2}$
$-\frac{3}{25}$
$\frac{3}{25}$
$-\frac{6}{25}$
$\frac{6}{25}$
Question 6:   Calculate: $1-\frac{1}{5}{\left(\frac{1}{2}\right)}^{2}$
$\frac{2}{10}$
$\frac{9}{20}$
$\frac{9}{10}$
$\frac{19}{20}$
Question 7:   Calculate: $-{1}^{3}+{\left(-2\right)}^{3}$
$9$
$-9$
$-3$
$3$
Question 8:   Calculate: $\frac{{3}^{2}{\left({3}^{3}\right)}^{3}}{{3}^{10}}$
$33$
$6$
$3$
$9$
Question 9:   Calculate: $10:{\left(-5\right)}^{-3}$
$-0.8$
$-0.08$
$0.08$
$0.8$
Question 10:   Simplify: ${\left(0.1x\right)}^{-2}y×5{x}^{3}$
$500x$
$500y$
$500yx$
$50yx$