Quiz about Simplifying expressions using Properitiess of Power

Question 1

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

Accepted Answer

$$\left(\frac{1}{5}\right)^{14}$$

Answer

$$\left(\frac{1}{5}\right)^9$$

Answer

$$\frac{1}{5}^9$$

Answer

$$\frac{1}{5}^{14}$$

Question 2

$$\frac{18x^{10}}{2x^3}$$

Accepted Answer

$$9x^7$$

Answer

$$9x^{13}$$

Answer

$$18x^7$$

Answer

$$2x^{13}$$

Question 3

Question 3.

Accepted Answer

x7

Answer

x11

Answer

x18

Answer

x7y

Question 4

Simplify the following:
$$\left(\frac{x^2}{y^3}\right)^4$$

Accepted Answer

$$\frac{x^8}{y^{12}}$$

Answer

$$\frac{x^6}{y^7}$$

Answer

$$x^8y^{12}$$

Question 5

Simplify the following:
$$\left(abc^5\right)^5$$

Accepted Answer

$$a^5b^5c^{25}$$

Answer

$$a^5b^5c^5$$

Answer

$$abc^{25}$$

Question 6

Simplify: $$\frac{v^{12}n^8}{v^3n^6}$$

Accepted Answer

$$v^9n^2$$

Answer

$$vn^2$$

Answer

$$v^4n^2$$

Answer

$$v^{15}n^{14}$$

Question 7

A swimming pool holds about 2¹³ gallons of water. A large bathtub holds about 2⁶ gallons of water. How many times larger is the pool's capacity for water? This is a division problem.

Accepted Answer

27

Answer

218

Answer

278

Answer

219

Question 8

Simplify the expression. Write your answer as a power.

$$\frac{c^{14}\cdot c^8}{c}$$

Accepted Answer

$$c^{21}$$

Answer

$$c^{20}$$

Answer

$$c^{22}$$

Answer

$$c^4$$

Question 9

Simplify the expression. Write your answer as a power.

$$\frac{b^7\cdot b\cdot b^5}{b^{10}}$$

Accepted Answer

$$b^3$$

Answer

$$b^2$$

Answer

$$b^{23}$$

Answer

$$b^{13}$$

Question 10

Simplify the expression. Write your answer as a power.

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

Accepted Answer

$$a^4$$

Answer

$$a^8$$

Answer

$$a^5$$

Answer

$$a^2$$

Question 11

Simplify the expression. Write your answer as a power.

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

Accepted Answer

$$h^7$$

Answer

$$h^{13}$$

Answer

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

Answer

$$h^{30}$$

Question 12

Division Law states: keep the base the same and do this to the exponents.

Accepted Answer

subtract

Answer

multiply

Answer

add

Answer

divide

Question 13

Evaluate the expression using the quotient rule.

Accepted Answer

1

Answer

g10

Answer

g25

Answer

g

Question 14

Simplify the expression. Write your answer as a power.

$$c^5\cdot c^5$$

Accepted Answer

$$c^{10}$$

Answer

$$c^{25}$$

Answer

$$c^{55}$$

Answer

$$c^{15}$$

Question 15

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7
?

Accepted Answer

76

Answer

75

Answer

67

Answer

77

Question 16

True or False $$7 imes7^{8\ }$$ is equivalent to $$7^4 imes7^5$$

Accepted Answer

True

Answer

False

Question 17

Simplify:

$$t^9\cdot t^8$$

Accepted Answer

$$t^{17}$$

Answer

$$t^1$$

Answer

$$t^{72}$$

Answer

None of the above

Question 18

What is the result of multiplying $$5^4 imes 5^2$$ ?

Accepted Answer

$$5^6$$

Answer

$$5^8$$

Answer

$$25^4$$

Answer

$$10^6$$

Question 19

Calculate: $$(2ab)^3$$ .

Accepted Answer

$$8a^3b^3$$

Answer

$$6a^2b^2$$

Answer

$$8ab^3$$

Answer

$$2a^3b^3$$

Question 20

Find the power of a product: $$(3x)^2$$ .

Accepted Answer

$$9x^2$$

Answer

$$6x^2$$

Answer

$$3x^4$$

Answer

$$6x$$

Question 21

Calculate the power of a power: $$(2^3)^2$$ .

Accepted Answer

$$2^6$$

Answer

$$2^5$$

Answer

$$8^2$$

Answer

$$4^3$$

Question 22

Find the product: $$x^4 imes x^7$$ .

Accepted Answer

$$x^{11}$$

Answer

$$x^{28}$$

Answer

$$2x^{11}$$

Answer

$$x^3$$

Question 23

$$\left(-2\right)^4\cdot\left(-2\right)\cdot\left(-2\right)^5$$

Accepted Answer

$$\left(-2\right)^{10}$$

Answer

$$\left(-2\right)^9$$

Answer

$$\left(-2\right)^1$$

Question 24

Which is the equivalent of $$8^3\cdot3^5$$ ?

Accepted Answer

$$3\cdot3\cdot3\cdot3\cdot3\cdot8\cdot8\cdot8$$

Answer

$$8\cdot3\cdot8\cdot3\cdot8\cdot3$$

Answer

$$8\cdot3\cdot3\cdot5$$

Answer

$$8\cdot8\cdot8\cdot3\cdot3\cdot3\cdot3$$

Question 25

The sound intensity of busy street traffic is $$10^7$$ times greater than the quietest noise a person can hear. The sound intensity of the front rows at a rock concert is $$10^{11}$$ times greater than the quietest noise a person can hear. How many times more intense is the sound in the front rows of a rock concert than the sound of busy street traffic?

Accepted Answer

$$10^4$$

Answer

$$10^{18}$$

Answer

$$10^{77}$$

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics