Intro Math (Exponents)

Question 1

2x + 3x + 3x = ?

Answer 1

8x (note: exponents don’t change when adding or subtracting)

Question 2

2x + 3y + 4x = ?

Answer 2

6x + 3y (note: exponents don’t change when adding or subtracting; can only add terms with same letter and same exponent)

Question 3

2x + 3y + 6x + 2x^2 = ?

Answer 3

2x^2 + 8x + 3y (note: exponents don’t change when adding or subtracting; can only add terms with same letter and same exponent)

Question 4

5x - 3x +4x =?

Answer 4

6x (note: exponents don’t change when adding or subtracting; can only add terms with same letter and same exponent)

Question 5

3x^2 + 7x -1x^2 + 13x = ?

Answer 5

2x^2 + 20x (note: exponents don’t change when adding or subtracting; can only add terms with same letter and same exponent)

Question 6

4x^3 + 17x^2 + 2x + 5x^3 + 3x = ?

Answer 6

9x^3 + 17x^2 + 5x

Question 7

(5x^7) . (4x^2) = ?

Answer 7

20x^9 (note: when exponents multiply, add them together)

Question 8

(12x^3) . (2x^1) = ?

Answer 8

24x^4 (note: when exponents multiply, add them together)

Question 9

(3x^3) . (2x^4) = ?

Answer 9

6x^7 (note: when exponents multiply, add them together)

Question 10

(15x) . (2x^5) = ?

Answer 10

30x^6 (note: when exponents multiply, add them together; when the exponent isn’t specified (ex. 5x), assume the exponent is 1)

Question 11

(2x^2)^4 = ?

Answer 11

16x^8 (note: when an exponent is to the power of another exponent, multiply them)

Question 12

(3x^5)^2 = ?

Answer 12

9x^10 (note: when an exponent is to the power of another exponent, multiply them)

Question 13

(6x^2)^2 = ?

Answer 13

36x^4

Question 14

(5x^3)^3 = ?

Answer 14

125x^9

Question 15

(15x^3)/(5x) = ?

Answer 15

3x^2 (note: when exponents divide, subtract them)

Question 16

(20x^7)/(5x^6) = ?

Answer 16

4x (note: when exponents divide, subtract them)

Question 17

(40x^5)/(10x^10) = ?

Answer 17

4x^-5 (note: when exponents divide, subtract them)

Question 18

(30x^4)/(6x^2) = ?

Answer 18

5x^2 (note: when exponents divide, subtract them)

Question 19

Write c^-2 with a positive exponent.

Answer 19

1 / (c^2)

Question 20

Write (a^5 b^3) / (c^-1 d^8) with positive exponents.

Answer 20

(a^5 b^3 c^1) / (d^8)

Question 21

Write (a^2 b^-2 ) / (c^4 d^7) with positive exponents.

Answer 21

(a^2) / (b^2 c^4 d^7)