Quiz about Leyes de los exponentes

Question 1

$$\frac{5^{-2}x\ 5^6}{5^3}$$

Accepted Answer

$$5^{ }$$

Answer

$$5^8$$

Answer

$$5^{-1}$$

Answer

$$5^2$$

Question 2

$$7^4\ imes7^7 imes7^{-6}$$

Accepted Answer

$$7^5$$

Answer

$$7^{17}$$

Answer

$$7^{-5}$$

Answer

$$7^4$$

Question 3

$$5^4 imes25^3 imes15^{-4}$$

Accepted Answer

$$5^6 imes3^{-4}$$

Answer

$$5^5$$

Answer

$$5^{15}$$

Answer

$$5^{-6} imes3^4$$

Question 4

$$\frac{3^{-2}}{3^{-5}}$$

Accepted Answer

$$3^3$$

Answer

$$3^{-7}$$

Answer

$$3^{-3}$$

Answer

$$3^2$$

Question 5

$$\left(\frac{-2}{3}\right)^{-3}$$

Accepted Answer

$$\frac{-27}{8}$$

Answer

$$\frac{27}{8}$$

Answer

$$\frac{8}{27}$$

Answer

$$-\frac{8}{27}$$

Question 6

$$16^{\frac{3}{4}}$$

Accepted Answer

$$\sqrt[4]{16^3}$$

Answer

$$\sqrt[3]{16^4}$$

Question 7

$$\frac{7^4}{7^{-9}}$$

Accepted Answer

$$7^{13}$$

Answer

$$7^{-5}$$

Answer

$$7^5$$

Answer

$$7^{-13}$$

Question 8

$$2^{-6} imes6^8 imes3^5$$

Accepted Answer

$$2^2 imes3^{13}$$

Answer

$$2^{-14} imes3^{13}$$

Answer

$$2^2 imes3^{14}$$

Question 9

$$\frac{9^{-4} imes10^{-6}}{6^2 imes5^5}$$

Accepted Answer

$$3^{-10} imes5^{-11} imes2^{-8}$$

Answer

$$3^{10} imes5^{11} imes2^8$$

Answer

$$3^{-6} imes5^{-1} imes2^{-4}$$

Question 10

$$49^{-\frac{3}{2}}$$

Accepted Answer

$$\sqrt[2]{\frac{1}{49^3}}$$

Answer

$$\sqrt[3]{49^{-2}}$$

Answer

$$-\sqrt[2]{49^3}$$

Answer

$$\sqrt[3]{\frac{1}{49^2}}$$

Question 11

$$\frac{7^2 imes2^{-2}}{7^3 imes2^{-2}}$$

Accepted Answer

$$\frac{1}{7}$$

Answer

$$7$$

Answer

$$7^{-1} imes2^{-4}$$

Answer

$$7^5 imes2^{ }$$

Question 12

$$\frac{2^6 imes3^7 imes4^8}{2^1 imes3^3 imes4^{10}}$$

Accepted Answer

16

Answer

$$2^7 imes3^4 imes4^{-2}$$

Answer

$$2^5 imes3^4 imes4^{18}$$

Answer

15

Question 13

$$\frac{3^2 imes2^5}{3^3 imes2^{-1}} imes\frac{3^2 imes2}{3^3 imes2^{-1}}\div\frac{9 imes8}{3^{-1} imes16}$$

Accepted Answer

$$\frac{2^9}{3^5}$$

Answer

$$\frac{2^{-9}}{3^5}$$

Answer

$$\frac{3^5}{2^9}$$

Answer

$$\frac{3^{-5}}{2^{-9}}$$

Question 14

$$\frac{1}{3^{-2}} imes3^3 imes\frac{1}{3^3}$$

Accepted Answer

$$\frac{1}{3^{-2}}$$

Answer

$$\frac{1}{9}$$

Answer

$$\frac{1}{-9}$$

Answer

$$\frac{1}{3^2}$$

Question 15

$$\frac{\left(\frac{2}{8} ight)^4 imes\left(\frac{25}{1} ight)^0}{\left(-11 ight)^0 imes\left(\frac{2}{8} ight)^4}$$

Accepted Answer

1

Answer

-1

Question 16

$$\frac{2\left(2^{-2} imes2 ight)^2}{2^3}$$

Accepted Answer

$$2^{-4}$$

Answer

$$2^4$$

Answer

$$2^{-2}$$

Answer

$$16$$

Question 17

$$\frac{2^3 imes5^2}{2 imes5^{-1}}\div\frac{2^3 imes5}{2^2 imes5^{-1}}$$

Accepted Answer

$$2 imes5$$

Answer

$$2^3 imes5^5$$

Answer

$$2^{-1} imes5$$

Question 18

$$\frac{1}{\sqrt[5]{4^3}}$$

Accepted Answer

$$4^{-\frac{3}{5}}$$

Answer

$$4^{\frac{3}{5}}$$

Answer

$$4^{-\frac{5}{3}}$$

Answer

$$4^{\frac{5}{3}}$$

Question 19

$$3^6 imes3^{-10}\div3^{-2}$$

Accepted Answer

$$3^{-2}$$

Answer

$$3^2$$

Answer

$$3^6$$

Answer

$$3^{-6}$$

Question 20

$$\left(\frac{4^{-2}}{4^{-7}}\right)^{-\frac{1}{5}}$$

Accepted Answer

$$\frac{1}{4}$$

Answer

$$-\frac{1}{\sqrt[5]{4^5}}$$

Answer

$$4$$

Question 21

$$\frac{4^{49}}{2}$$

Accepted Answer

$$2^{97}$$

Answer

$$22^{99}$$

Answer

$$2^{98}$$

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