Intro Math (Exponents) Flashcards
2x + 3x + 3x = ?
8x (note: exponents don’t change when adding or subtracting)
2x + 3y + 4x = ?
6x + 3y (note: exponents don’t change when adding or subtracting; can only add terms with same letter and same exponent)
2x + 3y + 6x + 2x^2 = ?
2x^2 + 8x + 3y (note: exponents don’t change when adding or subtracting; can only add terms with same letter and same exponent)
5x - 3x +4x =?
6x (note: exponents don’t change when adding or subtracting; can only add terms with same letter and same exponent)
3x^2 + 7x -1x^2 + 13x = ?
2x^2 + 20x (note: exponents don’t change when adding or subtracting; can only add terms with same letter and same exponent)
4x^3 + 17x^2 + 2x + 5x^3 + 3x = ?
9x^3 + 17x^2 + 5x
(5x^7) . (4x^2) = ?
20x^9 (note: when exponents multiply, add them together)
(12x^3) . (2x^1) = ?
24x^4 (note: when exponents multiply, add them together)
(3x^3) . (2x^4) = ?
6x^7 (note: when exponents multiply, add them together)
(15x) . (2x^5) = ?
30x^6 (note: when exponents multiply, add them together; when the exponent isn’t specified (ex. 5x), assume the exponent is 1)
(2x^2)^4 = ?
16x^8 (note: when an exponent is to the power of another exponent, multiply them)
(3x^5)^2 = ?
9x^10 (note: when an exponent is to the power of another exponent, multiply them)
(6x^2)^2 = ?
36x^4
(5x^3)^3 = ?
125x^9
(15x^3)/(5x) = ?
3x^2 (note: when exponents divide, subtract them)
(20x^7)/(5x^6) = ?
4x (note: when exponents divide, subtract them)
(40x^5)/(10x^10) = ?
4x^-5 (note: when exponents divide, subtract them)
(30x^4)/(6x^2) = ?
5x^2 (note: when exponents divide, subtract them)
Write c^-2 with a positive exponent.
1 / (c^2)
Write (a^5 b^3) / (c^-1 d^8) with positive exponents.
(a^5 b^3 c^1) / (d^8)
Write (a^2 b^-2 ) / (c^4 d^7) with positive exponents.
(a^2) / (b^2 c^4 d^7)
