Quiz about 指數對數運算(考試複習)

Question 1

$$a^2\cdot\ a^4=$$

Accepted Answer

$$a^6$$

Answer

$$a^5$$

Answer

$$a^8$$

Answer

$$a^2$$

Question 2

$$a^{\frac{1}{2}}\cdot\ a^{\frac{1}{3}}=$$

Accepted Answer

$$a^{\frac{5}{6}}$$

Answer

$$a^{\frac{1}{5}}$$

Answer

$$a^{\frac{1}{6}}$$

Answer

$$\frac{1}{6}a$$

Question 3

$$\left(a^2\right)^3=$$

Accepted Answer

$$a^6$$

Answer

$$a^5$$

Answer

$$a^{-1}$$

Answer

$$a^{\frac{2}{3}}$$

Question 4

$$\left(a^{\frac{1}{2}}\right)^{\frac{3}{2}}=$$

Accepted Answer

$$a^{\frac{3}{4}}$$

Answer

$$a^2$$

Answer

$$a^{\frac{1}{3}}$$

Answer

$$a^2$$

Question 5

$$\left(ab\right)^3=$$

Accepted Answer

$$a^3b^3$$

Answer

$$ab^3$$

Answer

$$3ab$$

Answer

$$\left(a+b\right)^3$$

Question 6

$$\left(a^2b\right)^{\frac{1}{5}}=$$

Accepted Answer

$$a^{\frac{2}{5}}b^{\frac{1}{5}}$$

Answer

$$a^2b^{\frac{1}{5}}$$

Answer

$$\frac{1}{5}a^2b$$

Answer

$$a^{10}b^5$$

Question 7

$$a^3\div\ a^5=$$

Accepted Answer

$$a^{-2}$$

Answer

$$a^8$$

Answer

$$a^{\frac{3}{5}}$$

Answer

$$a^{15}$$

Question 8

$$a^{\frac{1}{3}}\div\ a^{\frac{1}{2}}=$$

Accepted Answer

$$a^{-\frac{1}{6}}$$

Answer

$$a^{\frac{1}{6}}$$

Answer

$$a^{\frac{1}{5}}$$

Answer

$$a^{\frac{2}{3}}$$

Question 9

$$a^2a^5\div\ a^3=$$

Accepted Answer

$$a^4$$

Answer

$$a^{\frac{10}{3}}$$

Answer

$$a^{\frac{7}{3}}$$

Answer

$$a^{21}$$

Question 10

$$a^{\frac{2}{3}}a^{\frac{1}{3}}\div\ a^{\frac{1}{2}}=$$

Accepted Answer

$$a^{\frac{1}{2}}$$

Answer

$$a^{\frac{1}{6}}$$

Answer

$$a^{\frac{2}{3}}$$

Answer

$$a^2$$

Question 11

$$\log_28$$

Accepted Answer

3

Answer

2

Answer

4

Answer

5

Question 12

$$\log_62+\log_63$$

Accepted Answer

1

Answer

3

Answer

0

Answer

2

Question 13

$$\log_218-\log_29=$$

Accepted Answer

1

Answer

3

Answer

2

Answer

0

Question 14

$$\log_37 imes\ \log_73=$$

Accepted Answer

1

Answer

0

Answer

2

Answer

-1

Question 15

$$\log_25 imes\ \log_58=$$

Accepted Answer

3

Answer

4

Answer

$$\frac{1}{3}$$

Answer

16

Question 16

$$2^{\log_26}=$$

Accepted Answer

6

Answer

4

Answer

10

Answer

8

Question 17

$$4^{\log_23}=$$

Accepted Answer

9

Answer

3

Answer

6

Answer

4

Question 18

$$\log_25 imes\ \log_58+5^{\log_52}=$$

Accepted Answer

5

Answer

6

Answer

$$\frac{7}{3}$$

Answer

26

指數對數運算(考試複習)

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