Interactive multiple-choice quiz: exponents and scientific notation الوحدة الأولى ريفيل

A

$\left(\frac{2}{3}\right)^3\cdot(-5)^3$

B

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

C

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

D

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

A

$\left(\frac{2}{3}\right)^3\cdot(-5)^3$

B

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

C

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

D

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

A

a⁴b⁵

B

a⁵b³

C

a⁵b⁴

D

a⁶b⁴

A

485

B

554

C

338

D

488

A

117

B

220

C

110

D

-117

A

$39\frac{8}{9}$

B

$40\frac{1}{9}$

C

$33\frac{3}{9}$

D

$-22\frac{8}{9}$

A

936 miles

B

495 miles

C

820 miles

D

1{,}223 miles

A

$(-7)^2\cdot5^4$

B

$(-7)^4\cdot5^2$

C

$-7^2\cdot5^4$

D

$(-7)\cdot5^5$

A

n²p³r²

B

n²p²r³

C

(npr)⁷

D

n³p²r²

A

65

B

97

C

-65

D

73

A

18

B

70

C

64

D

38

A

7

B

$\frac{121}{16}$ (or $7\frac{9}{16}$)

C

$\frac{119}{16}$ (or $7\frac{7}{16}$)

D

8

A

1

B

-1

C

-125

D

125

A

<

B

>

C

=

D

$\le$

A

86{,}400{,}000

B

8{,}640{,}000

C

864{,}000

D

864{,}000{,}000

A

4⁸

B

4⁹

C

4²

D

4¹⁵

A

x²⁴

B

x³²

C

x²

D

x¹⁰

A

a⁵

B

6a⁵

C

-6a⁴

D

-6a⁵

A

z³

B

z⁸

C

z¹⁶

D

z⁶

A

3⁴ or 64 \times

B

3⁴ or 81 \times

C

3⁵ or 243 \times

D

3¹⁴ or 4{,}782{,}969 \times

A

$2\cdot3^2\cdot4$

B

$2\cdot3^3\cdot4$

C

$2^2\cdot3^2\cdot4$

D

$2^2\cdot3^3\cdot4$

A

4k⁴

B

4k¹⁴

C

4k²

D

18k⁴

A

Aruba has the least population.

B

Bolivia has the greatest population.

C

The Philippines has the least population.

D

Bolivia and the Philippines have the same population.

A

3⁸

B

3⁹

C

9⁸

D

3²⁴

A

m⁷

B

m¹⁰

C

2m⁷

D

m³

A

24m³n⁵

B

11m⁴n⁵

C

24m⁴n⁵

D

24m⁴n⁶

A

-72p⁶

B

-72p⁸

C

72p⁶

D

-p⁶

A

b⁷

B

b¹⁷

C

b²

D

b⁶⁰

A

7{,}200

B

600

C

$5^2\cdot6^2\cdot8$

D

Both A and C

A

10³ (1{,}000 \times)

B

10⁹ \times

C

3 \times

D

300 \times

A

5x⁵

B

5x²⁵

C

36x⁵

D

5x^1.5

A

6²

B

6⁸

C

6¹⁵

D

30³

A

x¹¹

B

7x⁴

C

x²⁸

D

x³

A

7w²¹

B

21w²¹

C

243w¹⁰

D

343w²¹

A

-125w⁵z¹¹

B

-125w⁶z²⁴

C

-15w⁵z¹¹

D

15w⁶z²⁴

A

9x²y⁴ tiles

B

3x²y⁴ tiles

C

9x⁴y⁶ tiles

D

3x⁴y⁶ tiles

A

7⁵

B

7⁶

C

7⁸

D

49²

A

8⁶

B

8⁹

C

8¹

D

24³

A

d¹³

B

d⁴²

C

d⁷

D

d⁶

A

z¹⁰

B

z²¹

C

z⁴

D

z²⁴

A

12m³⁰

B

64m³⁰

C

64m¹¹

D

2m³⁰

A

2{,}401a²⁰b²⁴

B

28a²⁰b²⁴

C

2{,}401a⁹b¹⁰

D

343a²⁰b²⁴

A

243w¹⁵z⁴⁰

B

-243w¹⁵z⁴⁰

C

-243w⁸z¹³

D

-15w¹⁵z⁴⁰

A

-625r¹⁶s⁴⁰

B

625r¹⁶s⁴⁰

C

625r⁸s¹⁴

D

-20r¹⁶s⁴⁰

A

1{,}000

B

(6²)³

C

They are equal.

D

Cannot be determined.

A

0

B

1

C

-1

D

m

A

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

B

-a^-5

C

a⁵

D

$\frac{5}{a}$

A

9^-7

B

-9^-7

C

9⁷

D

-9⁷

A

3^-36

B

3¹³

C

9⁵

D

3⁵

A

b^-11

B

b²⁸

C

b³

D

b^-3

A

10⁴

B

10⁵

C

10^-6

D

10³

A

0

B

46

C

1

D

-1

A

0

B

w

C

1

D

-1

A

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

B

-8⁴

C

8⁴

D

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

A

-y⁹

B

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

C

y⁹

D

$\frac{9}{y}$

A

d⁶

B

d^-6

C

-d⁶

D

6^-d

A

10^-5

B

-10⁵

C

10⁵

D

5^-10

A

9²

B

9^-2 (or $\frac{1}{81}$)

C

9^-24

D

81^-2

A

y^-6 (or $\frac{1}{y^6}$)

B

y^-27

C

y⁶

D

y^-3

A

x^-4

B

x⁴

C

x^-20

D

x²⁰

A

a^-11 (or $\frac{1}{a^{11}}$)

B

a^-15

C

a¹¹

D

a²⁶

A

0

B

1

C

80

D

800

A

993{,}100

B

99{,}310

C

9{,}931{,}000

D

0.00009931

A

0.00602

B

0.000602

C

0.0000602

D

60{,}200

A

2{,}400 and $2.4\times10^3$

B

0.0024 and $2.4\times10^{-3}$

C

0.024 and $2.4\times10^{-2}$

D

0.00024 and $2.4\times10^{-4}$

A

$8.785\times10^9$

B

$8.785\times10^6$

C

$8.785\times10^{-9}$

D

$87.85\times10^8$

A

$5.24\times10^1$

B

$5.24\times10^3$

C

$5.24\times10^{-1}$

D

$5.24\times10^{-3}$

A

$1.3\times10^{-8}$ kilometer

B

$1.3\times10^{-2}$ millimeter

C

Both units are equally appropriate.

D

Neither unit is appropriate.

A

$2.389\times10^5$ miles

B

$2\times10^5$ miles (or $2.4\times10^5$ miles)

C

$2\times10^6$ miles

D

$23.89\times10^4$ miles

A

Los Angeles Angels

B

St. Louis Cardinals

C

Pittsburgh Pirates

D

Miami Marlins

A

160

B

1{,}600

C

16{,}000

D

0.0016

A

0.000000149

B

0.00000149

C

14{,}900{,}000

D

0.0000000149

A

0.0000083

B

0.000083

C

8{,}300{,}000

D

0.00000083

A

70{,}000{,}000{,}000

B

7{,}000{,}000{,}000

C

700{,}000{,}000{,}000

D

0.00000000007

A

$2.204\times10^9$

B

$22.04\times10^8$

C

$2.204\times10^8$

D

$2.204\times10^{10}$

A

$6.42\times10^{-8}$

B

$6.42\times10^{-7}$

C

$64.2\times10^{-9}$

D

$6.42\times10^8$

A

5 km, because kilometers are an appropriate unit for race distances and easier to comprehend.

B

$5\times10^6$ mm, because scientific notation is always preferred.

C

Both are equally practical.

D

Neither; it should be reported in inches.

A

$2\times10^7$

B

$2.06\times10^7$

C

$2.1\times10^7$

D

All of the above, depending on the degree of rounding.

A

$2.4\times10^{-3}$ inch

B

$2.4\times10^{-4}$ inch

C

$24\times10^{-4}$ inch

D

$2.4\times10^3$ inch

A

$1.35\times10^2$ meters

B

$1.35\times10^3$ meters

C

$1.35\times10^4$ meters

D

$1.35\times10^9$ meters

A

About 2 \times as great

B

About 4 \times as great

C

About 40 \times as great

D

About 10 \times as great

A

$1.0551\times10^5$

B

$1.0551\times10^7$

C

$10.551\times10^4$

D

$105.51\times10^3$

A

About 2 \times

B

About 10 \times

C

About 22 \times (or 20 \times)

D

About 200 \times

A

$300\times10^{11}$

B

$3\times10^{11}$

C

$3\times10^{12}$

D

$3\times10^{22}$

A

$3.66\times10^7$ \times

B

$3.66\times10^1$ \times

C

$1.75\times10^1$ \times

D

$3.66\times10^{-7}$ \times

A

$1.2913\times10^5$

B

$2.41\times10^5$

C

$1.2913\times10^8$

D

$129.13\times10^3$

A

$7.247\times10^6$

B

$5.96\times10^6$

C

$7.247\times10^4$

D

$7.13\times10^6$

A

$2.72\times10^8$ seconds

B

$2.72\times10^{18}$ seconds

C

$9.42\times10^{18}$ seconds

D

$2.72\times10^{-8}$ seconds