COLLEGE MATH PLACEMENT TEST EXAM WITH COMPLETE
QUESTIONS AND ANSWERS COMPILATION, VERIFIED
SOLUTIONS WITH DETAILED EXPLANATIONS | 2026/2027 UPDATE
|GRADED A+
Part 1 -
CORRECT|ANSWER
Part 1
Simplify
(2a^3b)^-3 -
CORRECT|ANSWER
(2^-3 * a^(3 *-3) * b^-3)
2^-3 a^-9b^-3
1/8a^9b^3
Simplify
(-4x^2y^-3)^-2 -
CORRECT|ANSWER
*y^6/16x^4*
Simplify
Radical 1/64 -
CORRECT|ANSWER
Radical 1/Radical 64
1/8
,^3 Radical -27 -
CORRECT|ANSWER
*-3*
Complex numbers: -
CORRECT|ANSWER
Complex numbers
Find x and y such that the following is correct:
3x + 5yi= 15 + 5i -
CORRECT|ANSWER
3x + 5yc= 15 + 5c
3x=15 and 5yc=5c
*x=5 and y=1 *
Find x and y such that the following is correct:
10x -4yi = 20 + 1/2i -
CORRECT|ANSWER
10x - 4yc = 20 + 1/2x
*x=2 and y=-1/8*
, Simplify
Radical 27 - 18 -
CORRECT|ANSWER
Radical 27 - 18
Radical 9
*3*
Simplify
Radical -1/25 -
CORRECT|ANSWER
*i/5*
Complex Numbers and Exponents -
CORRECT|ANSWER
Complex Numbers of Exponents
Simplify
i^15 -
CORRECT|ANSWER
i^15
(i^3)^5
-i^5
-(i^3 * i^2)
QUESTIONS AND ANSWERS COMPILATION, VERIFIED
SOLUTIONS WITH DETAILED EXPLANATIONS | 2026/2027 UPDATE
|GRADED A+
Part 1 -
CORRECT|ANSWER
Part 1
Simplify
(2a^3b)^-3 -
CORRECT|ANSWER
(2^-3 * a^(3 *-3) * b^-3)
2^-3 a^-9b^-3
1/8a^9b^3
Simplify
(-4x^2y^-3)^-2 -
CORRECT|ANSWER
*y^6/16x^4*
Simplify
Radical 1/64 -
CORRECT|ANSWER
Radical 1/Radical 64
1/8
,^3 Radical -27 -
CORRECT|ANSWER
*-3*
Complex numbers: -
CORRECT|ANSWER
Complex numbers
Find x and y such that the following is correct:
3x + 5yi= 15 + 5i -
CORRECT|ANSWER
3x + 5yc= 15 + 5c
3x=15 and 5yc=5c
*x=5 and y=1 *
Find x and y such that the following is correct:
10x -4yi = 20 + 1/2i -
CORRECT|ANSWER
10x - 4yc = 20 + 1/2x
*x=2 and y=-1/8*
, Simplify
Radical 27 - 18 -
CORRECT|ANSWER
Radical 27 - 18
Radical 9
*3*
Simplify
Radical -1/25 -
CORRECT|ANSWER
*i/5*
Complex Numbers and Exponents -
CORRECT|ANSWER
Complex Numbers of Exponents
Simplify
i^15 -
CORRECT|ANSWER
i^15
(i^3)^5
-i^5
-(i^3 * i^2)
