Indices II - Challenging

Question 1: Calculate:

81 \times {(- 3)}^{- 5}

A

- \frac{1}{9}

B

\frac{1}{9}

C

- \frac{1}{3}

D

\frac{1}{3}

Question 2: Calculate:

32^{0} + 2^{- 1}

A

30

B

- 1 \frac{1}{2}

C

34

D

1 \frac{1}{2}

Question 3: Calculate:

\frac{724^{2} - 76^{2}}{324}

A

1600

B

- 1600

C

160

D

- 160

Question 4: Simplify expression:

{(- 2 x^{4} y)}^{3} {(- 0.5 x y^{5})}^{2}

A

x^{14} y^{13}

B

2 x^{14} y^{13}

C

- x^{14} y^{13}

D

- 2 x^{14} y^{13}

Question 5: Find value of p:

p^{5} = 2^{25}

A

2

B

25

C

32

D

20

Question 6: Calculate:

100^{- 2} : {0.1}^{4} + \frac{2}{5}

A

100

B

1

C

\frac{2}{5}

D

1 \frac{2}{5}

Question 7: Calculate:

{0.5}^{2} : {(\frac{1}{4})}^{- 2} \times {(\frac{1}{2})}^{- 6}

A

10

B

- 10

C

1

D

-1

- 1

Question 8: Write in a standard form:

8902.5

A

8.9025 \times 10^{3}

B

89.025 \times 10^{3}

C

89025

D

8.9025

Question 9: Calculate:

1.8 \times 10^{4} + 5 \times 10^{3}

A

2.3 \times 10^{7}

B

23000

C

6.8 \times 10^{7}

D

2200

Question 10: Solve the equation:

3 x^{- 1} + x^{- 1} = 1

A

4

B

0

C

3

D

1

Test: Indices II - Challenging

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