Exponents, Radicals, & Scientific Notation

Exponent Expressions

2020 June(C02) Math Question 2

2014 April(71H) Math Question 3

2019 December(C03) Math Question 3

2019 April(B04) Math Question 4

2018 December(B05) Math Question 4

2013 December(71E) Math Question 4

4. For nonzero values of x and y, which of the following expressions is equivalent to — 18x^3y^2 / 3xy?

2015 December(72E) Math Question 4

2019 June(72F) Math Question 4

2013 April(71G) Math Question 5

2018 December(B05) Math Question 6

2011 April(67F) Math Question 8

2010 December(69A) Math Question 8

9. Which of the following is equivalent to (a3)2′ ?

2018 April(A09) Math Question 9

2019 April(Z15) Math Question 10

Laws of exponents

2021 April(D05) Math Question 11

13.For all x such that x -:t:0. , which of the following
expressions is equivalent to lSx
2
5
: 25x ?

2019 June(B02) Math Question 13

2020 December(D03) Math Question 13

15. Karen invested $2,000 in a special sayings account.
The balance of this special savings account will double
every 5 years. Assuming that Karen makes no othe:r:
deposits and no withdrawals, what ;will be the balance
of Karen's investment at the end of 40 years?

2019 June(B02) Math Question 15

2012 June(70C) Math Question 15

2009 June(67C) Math Question 15

2010 December(69A) Math Question 16

2021 April(Z04) Math Question 18

20. Which of the following expressions is equivalent to (3x)^2/x^5 ?

2014 June(72C) Math Question 20

2010 April(68G) Math Question 20

2009 December(68A) Math Question 20

2012 April(70G) Math Question 21

21. What value of x makes the equation −1/81 = −3x true?

2021 December(E23) Math Question 21

22. Given u and v such that (a2)1 = a12 and (a')2 = a8 for all positive a, what is au'

2016 December(74H) Math Question 22

2009 June(67C) Math Question 25

2019 December(C03) Math Question 25

2011 April(67F) Math Question 26

2010 December(69A) Math Question 27

27. For all a > 0, which of the following expressions is equal to a-2 ?

2017 June(74C) Math Question 27

2010 June(68C) Math Question 28

2012 June(70C) Math Question 30

2012 December(71A) Math Question 31

2020 June(C02) Math Question 32

33. Which of the following is equivalent to 82 – 40.5 ?

2017 June(74C) Math Question 33

2009 December(68A) Math Question 34

2011 June(69F) Math Question 34

35. Which of the following expressions is equivalent to (3 + x)^-100?

2018 June(A11) Math Question 35

2015 April(73G) Math Question 36

40. The number a is a positive integer greater than 1. The number b is a negative integer. The number ab is:

2021 April(D05) Math Question 40

43. Given that i2 = —1 and that k is a positive integer, what is the value of i (4k + ?

2016 December(74H) Math Question 43

2019 June(B02) Math Question 44

50. A function f(x) is defined as f(x) = 3’2-‘2. What 2 real numbers satisfy f(x) = 1 ?

2018 April(A09) Math Question 50

2019 April(Z15) Math Question 50

2019 June(72F) Math Question 51

2009 December(68A) Math Question 51

51. If # represents the operation defined by a # b = a + b^a, then (1 # 2) # 3 =?

2014 April(71H) Math Question 51

2012 December(71A) Math Question 52

2020 July(C01) Math Question 53

56. For all positive real numbers x, which of the following expressions is equivalent to ?

2015 December(72E) Math Question 56

56. For all x > 0, which of the following expressions is NOT equivalent to

2018 June(A11) Math Question 56

56. If a is a positive even integer and b is a positive odd integer, then [(-3)(+3)]^ab is:

2016 April(73E) Math Question 56

57. For how many integers x is the equation 3^(x + 1) = 9^(x-2) true?

2015 April(73G) Math Question 57

2019 December(C03) Math Question 57

2012 June(70C) Math Question 57

58. If x and a are positive rational numbers such that x^2a = 3, then x^6a = ?

2016 April(73E) Math Question 58

2021 June(D06) Math Question 58

2009 April(66F) Math Question 59

60. Let m and n be nonzero real numbers such that 2n+ 1= 2m. Which of the following is an expression for 2 3 in terms of m ?

Exponent ExpressionsExponents, Radicals, & Scientific NotationACT math questions

2020 June(C02) Math Question 2

2014 April(71H) Math Question 3