Quiz about Exponents Rules

Question 1

$$5^3\cdot5^4=...$$

Accepted Answer

$$5^7$$

Answer

$$5^{12}$$

Answer

$$5^1$$

Answer

$$5^{10}$$

Question 2

$$a^3\cdot a^4\cdot a^5=$$

Accepted Answer

$$a^{12}$$

Answer

$$a^{11}$$

Answer

$$a^{13}$$

Answer

$$a^{60}$$

Question 3

$$\left(p^3\right)^5=$$

Accepted Answer

$$p^{15}$$

Answer

$$p^8$$

Answer

$$p^{12}$$

Answer

$$p^2$$

Question 4

$$3^{16}\div3^8=$$

Accepted Answer

$$3^8$$

Answer

$$3^2$$

Answer

$$3^{12}$$

Answer

$$3^{24}$$

Question 5

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

Accepted Answer

$$a^{12}$$

Answer

$$a^{18}$$

Answer

$$a^{36}$$

Answer

$$a^6$$

Question 6

simplify $$\frac{a^{13}b^7}{a^6b^6}$$

Accepted Answer

$$a^7b$$

Answer

$$ab^7$$

Answer

$$a^7b^{13}$$

Answer

$$a^{19}b^{13}$$

Question 7

Simplify $$4a^2\cdot3a^4$$

Accepted Answer

$$12a^6$$

Answer

$$12a^{12}$$

Answer

$$12a^8$$

Answer

$$12a^{16}$$

Question 8

Simplify $$\frac{27a^{15}}{9a^5}$$

Accepted Answer

$$3a^{10}$$

Answer

$$3a^3$$

Answer

$$9a^3$$

Answer

$$9a^{10}$$

Question 9

Simplify $$\left(3a\right)^3$$

Accepted Answer

$$27a^3$$

Answer

$$9a^3$$

Answer

$$27a^9$$

Answer

$$9a^9$$

Question 10

Simplify $$\left(4a\right)^2\cdot\left(2a^2\right)^3$$

Accepted Answer

$$128a^8$$

Answer

$$8a^8$$

Answer

$$16a^8$$

Answer

$$64a^8$$

Question 11

$$2^{-4}=....$$

Accepted Answer

$$\frac{1}{2^4}$$

Answer

$$-2^4$$

Answer

$$-\frac{1}{2^4}$$

Answer

$$\left(-2\right)^4$$

Question 12

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

Accepted Answer

$$\frac{9}{4}$$

Answer

$$\frac{4}{9}$$

Answer

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

Answer

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

Question 13

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

Accepted Answer

9

Answer

-9

Answer

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

Answer

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

Question 14

$$\left(\frac{2}{3}\right)^4\cdot\left(\frac{3}{2}\right)^{-2}\div\left(\frac{2}{3}\right)^5=....$$

Accepted Answer

$$\frac{2}{3}$$

Answer

$$\frac{3}{2}$$

Answer

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

Answer

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

Question 15

$$\left(\left(\left(\frac{1}{2}\right)^{44}\div2^{-44}\right)\cdot\left(3^{-99}\div\left(\frac{1}{3}\right)^{99}\right)\right)^{-20}=....$$

Accepted Answer

$$1$$

Answer

$$-1$$

Answer

$$\frac{512}{729}$$

Answer

$$\frac{729}{512}$$

Exponents Rules

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