Exponent Rules (Product, Power, Quotient)
Use the product rule for exponents to multiply: 4x3⋅5x2
20x5
Use the zero exponent rule to simplify:
-9x0
-9
Write your answer in standard form:
(13x2-2x+1)+(9x2-7)
22x2-2x-6
x^2+16x+28
(x+14)(x+2)
x2+x-30
(x+6)(x-5)
Use the quotient rule for exponents to divide:
x2y5÷ xy3
xy2
Simplify using only positive exponents.
(3x^-8)/(3x^2)
1/(x^10)
Write your answer in standard form:
(3x+2)-(11x-6)
-8x+8
x2-13x+36
(x-9)(x-4)
x2-22x-75
(x-25)(x+3)
Use the power rule to simplify:
(4x2yz3)4
16x8y4z12
Simplify:
(-9x2y)0
1
Write your answer in standard form:
(3x2-7x+4)-(x2+x-2)
2x2-8x+6
x2-900
(x+30)(x-30)
x2-196
(x+14)(x-14)
Use the product rule to multiply:
(2ab2c2)(4a3b5c7)
8a4b7c9
Simplify:
2x^2y^4 * 8x^5y^-5
(16x^7)/y
Write your answer in standard form:
-3x(2x2+4)
-6x3-12x
3x2+36x+96
3(x+8)(x+4)
10x2-160x+640
10(x-8)(x-8) or 10(x-8)2
Use exponent rules to simplify:
(x3y4)3 ⋅ (3xy2)2
9x11y16
Rewrite using only positive exponents:
(a^-2b^3)/(c^-4d^-1)
(b^3c^4d)/(a^2)
Write your answer in standard form:
(9x+1)(6x-2)
54x2-12x-2
-2x2-52x+240
-2(x+30)(x-4)
4x3-40x2-300x
4x(x-15)(x+5)