Indices II - Ambitious

Question 1: Simplify expression:

x^{5} \times x^{7}

A

x^{35}

B

x^{2}

C

x^{- 2}

D

x^{12}

Question 2: Simplify:

3 x^{- 3}

A

\frac{x}{3}

B

\frac{x^{3}}{3}

C

\frac{3}{x}

D

\frac{3}{x^{3}}

Question 3: Find value of

400 a^{- 3}

, if

a = 2

A

- 500

B

50

C

500

D

- 50

Question 4: Find value of

4 a^{2} - 4 a + 1

, if

a = - 3

A

49

B

490

C

4.9

D

- 49

Question 5: Calculate:

{(\frac{3}{5})}^{2} - \frac{1}{6} {(1 \frac{1}{5})}^{2}

A

\frac{3}{25}

B

- \frac{6}{25}

C

- \frac{3}{25}

D

\frac{6}{25}

Question 6: Calculate:

1 - \frac{1}{5} {(\frac{1}{2})}^{2}

A

\frac{2}{10}

B

\frac{9}{20}

C

\frac{19}{20}

D

\frac{9}{10}

Question 7: Calculate:

- 1^{3} + {(- 2)}^{3}

A

- 9

B

3

C

- 3

D

9

Question 8: Calculate:

\frac{3^{2} {(3^{3})}^{3}}{3^{10}}

A

6

B

33

C

9

D

3

Question 9: Calculate:

10 : {(- 5)}^{- 3}

A

0.08

B

- 0.8

C

- 0.08

D

0.8

Question 10: Simplify:

{(0.1 x)}^{- 2} y \times 5 x^{3}

A

500 x

B

50 y x

C

500 y x

D

500 y

Test: Indices II - Ambitious

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