Exponents, Roots and Logarithms Exam

Question 1

1 / 3 = ?

Answer 1

0.3333….

Question 1

1 / 9 = ?

Answer 1

0.111111…..

Question 2

billion: number, name in german, symbol and prefix?

Answer 2

10^9, Milliarde, G, giga

Question 2

millionth: number, name in german, symbol and prefix?

Answer 2

10^-6, Millionstel, µ, micro

Question 3

thousand: number, name in german, symbol and prefix?

Answer 3

10^3, Tausend, k, kilo

Question 4

thousandth: number, name in german, symbol and prefix?

Answer 4

10^-1, Tausendstel, m, milli

Question 4

billionth: number, name in german, symbol and prefix?

Answer 4

10^-9, Milliardstel, n, nano

Question 5

1 / 7 = ?

Answer 5

0.142857….

Question 6

million: number, name in german, symbol and prefix?

Answer 6

10^6, Million, M, mega

Question 8

1 / 4 = ?

Answer 8

0.25

Question 9

unit: number (base 10) and name in german?

Answer 9

10^0, Einheit

Question 11

1 / 10 = ?

Answer 11

0.1

Question 12

trillionth: number, name in german, symbol and prefix?

Answer 12

10^-12, Billionstel, p, pico

Question 14

1 / 2 = ?

Answer 14

0.5

Question 14

quintillionth: number, name in german, symbol and prefix?

Answer 14

10^-18, Trillionstel, a, atto

Question 15

1 / 5 = ?

Answer 15

0.2

Question 15

1 / 15 = ?

Answer 15

0.066666…..

Question 17

quadrillion: number, name in german, symbol and prefix?

Answer 17

10^15, Billiarde, P, peta

Question 19

trillion: number, name in german, symbol and prefix?

Answer 19

10^12, Billion, T, tera

Question 20

1 / 8 = ?

Answer 20

0.125

Question 21

quintillion: number, name in german, symbol and prefix?

Answer 21

10^18, Trillion, E, exa

Question 22

1 / 20 = ?

Answer 22

0.05

Question 23

quadrillionth: number, name in german, symbol and prefix?

Answer 23

10^15, Billiardstel, f, femto

Question 24

1 / 6 = ?

Answer 24

0.166666….

Question 25

1 / 50 = ?

Answer 25

0.02

Question 26

Rules of roots

Answer 26

1. n√(u^n) = | u | 2. n√(u^m) = u^m/n 3. n√(u\*v) = n√(u) \* n√(v) 4. n√(u/v) = n√(u) / n√(v) 5. ( n√(a) )^m = n√(a^m)

Question 27

Rewrite u^n = v as a logarithm.

Answer 27

n = logu(v)

Question 28

Rules of logarithms?

Answer 28

1. loga(u\*v) = loga(u) + loga(v) 2. loga(u/v) = loga(u) - loga(v) 3. loga(u^n) = n \* loga(u) 4. loga(u) = logb(u) / logb(a), where b = R e.g. 10

Question 29

Growth and decay formula?

Answer 29

P = P0 \* (1 + % / t)^t Endamount = original amount \* rate of growth ^ times grown