# Test: Indices II - Normal

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Question 1:   Simplify: $aaa$
${a}^{3}$
$3a$
$-3a$
${a}^{2}$
Question 2:   Simplify: ${\left(3a\right)}^{2}$
$3{a}^{3}$
$3{a}^{2}$
$9{a}^{2}$
$6{a}^{2}$
Question 3:   Simplify: $\left(a+b\right)\left(a+b\right)\left(a+b\right)$
$3a+3b$
$3\left(a+b\right)$
${a}^{3}+{b}^{3}$
${\left(a+b\right)}^{3}$
Question 4:   Calculate: ${\left(-5\right)}^{2}×3$
$-75$
$-15$
$15$
$75$
Question 5:   Calculate: ${\left(-\frac{2}{5}\right)}^{3}$
$\frac{8}{125}$
$\frac{6}{15}$
$-\frac{6}{15}$
$-\frac{8}{125}$
Question 6:   Calculate: ${\left(\frac{2}{3}\right)}^{4}×81$
$16$
$\frac{1}{54}$
$54$
$\frac{1}{16}$
Question 7:   Calculate: ${\left(\frac{7}{8}\right)}^{0}×\frac{3}{8}$
$\frac{3}{8}$
$0$
$\frac{21}{64}$
$1$
Question 8:   Find value of $6{x}^{2}$ , if $x=7$
$48$
$294$
$84$
$42$
Question 9:   Calculate: ${\left(-8\right)}^{5}×0×{\left(\frac{1}{2}\right)}^{2}$
$0$
$4$
$1$
$-1$
Question 10:   Simplify expression: $a{b}^{2}×{b}^{-3}×{a}^{-2}$
$-ab$
$\frac{1}{ab}$
$-\frac{1}{ab}$
$ab$