Product Rule
Use the product rule for exponents to multiply:
x^2x^3
x^5
Use the quotient rule for exponents to divide:
x^8/x^3
x^5
Use the power rule to simplify:
(x^3)^2
x^6
Add the following polynomials. Write your final answer in standard form.
4x^2+4)+(19x^2-7
23x^2-3
Use the product rule for exponents to multiply:
4x^3*5x^2
20x^5
Use the quotient rule for exponents to divide:
(x^2y^5)/(xy^3)
xy^2
Use the power rule to simplify:
(3x^2)^3
27x^6
Add the following polynomials. Write your final answer in standard form.
13x^2y-2x + 9x^2y
22x^2y-2x
Use the product rule for exponents to multiply:
(3y^4)(x^3y^2)
3x^3y^6
Use the quotient rule and the negative exponent rule to simplify:
(8x^5y^5)/(4x^2y^4)
2x^3y
Use the power rule to simplify:
(4x^2y)^2
16x^4y^2
Add the following polynomials. Write your final answer in standard form.
-x^3+8x^2-5 + 10x^3-x^2+1
9x^3+7x^2-4
Use the product rule for exponents to multiply:
(3x^2y^3)(-2x^3y^2)
-6x^5y^5
Use the quotient rule and the negative exponent rule to simplify:
(5y^4)/y^6
5y^-2
Use the product rule and the zero rule to simplify:
(25x^15)^0(3x)^3
27x^3
Subtract the following polynomials. Write your final answer in standard form.
3x+2-11x+ 6
-8x+8
Use the product rule for exponents to multiply:
-4x^2(x^1y^4)
-4x^3y^4
Use the quotient rule and the negative exponent rule to simplify:
(5x^5y^2)/(25xy^7)
1/5x^4y^-5
Use the exponent rules to simplify:
(x^3y^4)^3*(3xy^2)^-2
(x^9y^8)/9
Subtract the following polynomials. Write your final answer in standard form.
x^2-x+4-x^2-x+2
-2x+6