Quiz about 8.1-8.4 Review

Question 1

Simplify the exponential expression.

$$s^3\cdot s^4$$

Accepted Answer

$$s^7$$

Answer

$$s^{12}$$

Answer

$$s^{-1}$$

Answer

$$\frac{1}{s}$$

Question 2

You started a savings account in 2023. The balance A is given by A = 400(1.1)^t , where t = 0 represents the year 2023. What is the balance in 2027?

Accepted Answer

$585.64

Answer

$495.01

Answer

$533.85

Answer

$600

Question 3

Simplify the exponential expression. $$\frac{25a^4b^5}{-5a^2b}$$

Accepted Answer

$$-5a^2b^4$$

Answer

$$5a^2b^4$$

Answer

$$\frac{1}{5a^2b^4}$$

Answer

Not this one

Question 4

Simplify the exponential expression.

$$\frac{4^5}{4^2}$$

Accepted Answer

$$4^3$$

Answer

$$4^7$$

Answer

$$4^{2.5}$$

Answer

$$1$$

Question 5

$$x^6y^{-6}$$

Accepted Answer

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

Answer

$$\frac{1}{x^6y^6}$$

Answer

Cannot simplify any further

Question 6

Simplify the exponential expression.

$$\left(2ab^4\right)^0$$

Accepted Answer

1

Answer

$$0$$

Question 7

Simplify the exponential expression.

$$\left(-2y^4\right)^{-2}$$

Accepted Answer

$$\frac{1}{4y^8}$$

Answer

$$-4y^8$$

Answer

$$2^{-2}y^{-8}$$

Answer

Not this one

Question 8

Simplify the exponential expression.

$$x^{-5}\cdot x^3$$

Accepted Answer

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

Answer

$$x^{-15}$$

Answer

$$x^{-2}$$

Answer

$$\frac{1}{x^{15}}$$

Question 9

Simplify the exponential expression.

$$12,345^0$$

Accepted Answer

1

Answer

0

Answer

12,345

Answer

Not this one

Question 10

Simplify the exponential expression.

$$\left(4a^3\right)\cdot\left(2a^9\right)$$

Accepted Answer

$$8a^{12}$$

Answer

$$6a^{27}$$

Answer

$$8a^{27}$$

Answer

Not this one :)

Question 11

Simplify the exponential expression.

$$\left(s^3\cdot t\right)^2$$

Accepted Answer

$$s^6\cdot t^2$$

Answer

$$s^5\cdot t^2$$

Answer

$$s\cdot t^6$$

Answer

$$s^5\cdot t^3$$

Question 12

Simplify the exponential expression.

$$\left(x^3\right)^7$$

Accepted Answer

$$x^{21}$$

Answer

$$x^{10}$$

Answer

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

Answer

$$x^4$$

Question 13

In 1994 you bought a rare stamp for $500 that you expect to increase in value 12% each year for the next 15 years. Write an exponential growth model and estimate the value of the stamp in 2002.

Accepted Answer

$1,237.98

Answer

$881.17

Answer

$986.91

Answer

$1,557.92

Question 14

You deposit $450 into a savings account that pays 6% interest compounded yearly. How much money is in the account after 6 years? Assume you make no more deposits or withdrawals.

Accepted Answer

$638.33

Answer

$477.00

Answer

$602.20

Answer

$676.63

Question 15

Simplify the exponential expression.

$$\frac{4x^2y^2}{4xy}\cdot\frac{8xy^3}{4y}$$

Accepted Answer

$$2x^2y^3$$

Answer

$$2xy^2$$

Answer

$$2xy^3$$

Answer

$$4x^2y$$

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