Indices - Ambitious

Question 1: Simplify:

x^{3} \cdot x^{4}

A

3 x^{4}

B

x^{- 1}

C

x^{12}

D

x^{7}

Question 2: Simplify:

x^{7} \div x^{5}

A

x^{- 2}

B

x^{2}

C

x^{7 / 5}

D

x^{12}

Question 3: Simplify:

x^{2} \cdot x^{3} \cdot x^{4} \cdot x^{5} \cdot x^{- 6}

A

x^{8}

B

x^{20}

C

x^{18}

D

x^{22}

Question 4: Simplify:

{(\frac{x^{8}}{x^{3}} \cdot x^{2})}^{2}

A

x^{9}

B

x^{25}

C

x^{49}

D

x^{14}

Question 5: Simplify:

{(0.72)}^{0} + 2^{- 4} + 9^{\frac{1}{2}} - 16^{\frac{1}{4}}

A

2 \frac{13}{16}

B

2 \frac{1}{16}

C

2 \frac{15}{16}

D

2

Question 6: Simplify:

8^{- 1} \cdot 100

A

80

B

800

C

12.5

D

125

Question 7: Simplify:

16^{\frac{2}{8}}

A

1

B

\sqrt{2}

C

2

D

4

Question 8: Simplify:

4^{- 1} \cdot 100 + 4^{\frac{1}{2}} \cdot 100 + 4^{- \frac{1}{2}} \cdot 100

A

150

B

200

C

275

D

175

Question 9: If

3^{x} = 81

, find

x

.

A

x = 27

B

x = 3

C

x = 4

D

x = 9

Question 10: If

7^{x - 2} = 49^{2 x + 5}

A

x = 2

B

x = - 4

C

x = 3

D

x = - 1

Test: Indices - Ambitious

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