Product Rule
Use the product rule of exponents to multiply:
23 * 22
2^5 or 32
Use the quotient rule for exponents to divide:
7^4 / 7^2
7^2 or 49
Use the power rule to simplify:
(14^2)^3
14^6
Use the exponent rules to simplify:
(x^3)^2 * x^1
x^7
Use the zero exponent rule to simplify:
3-3
1/27
Use the product rule of exponents to multiply:
4x^3*5x^2
20x^5
Use the quotient rule for exponents to divide:
(15k^5)/( 3k^2)
5k^3
Use the power rule to simplify:
(8v^3)^3
8^3v^9 or 512v^9
Use the exponent rules to simplify:
(x^2 * x^2) / (x^2)
x^2
Simplify:
(4x^2y^5)^5/(4x^7y^11)
44x3y14 or 256x3y14
Use the product rule of exponents to multiply:
-12k^7 * 4k
-48k^8
Use the quotient rule for exponents to divide:
(-45x^2y^5)/(-5xy^3)
9xy^2
Use the power rule to simplify:
(3x^3y^4)^4
3^4x^12y^16 or 81x^12y^16
Use the exponent rules to simplify:
(xy^3 * xy)/(xy)
Use the exponent rules to simplify:
xy^3
Use the quotient rule and the zero exponent rule to simplify:
y^5/y^5
y0 = 1
Use the product rule of exponents to multiply:
3x^4 * 2x^3 * 3x^2
18x^9
Use the quotient rule and the negative exponent rule to simplify:
(2x^2y^4)/(8xy^2)
(1xy^2)/(4)
Use the power rule to simplify:
(4x^2yz^3)^2
16x^4y^2z^6
Use the exponent rules to simplify:
(x^3y^4)^3*xy^2
x^10y^14
Simplify:
((-8xy)^2-x^2y^2)/(-9y^3)
(-7x^2)/y
Use the product rule of exponents to multiply:
17dq^3r^2 * 2d^3qr^3
34d^4q^4r^5
Use the quotient rule for exponents to divide:
(4x^10y^9)/(8x^4y^4)
(x^6y^5)/(2)
Use the power rule to simplify:
(3yx^2)^3
27y^4x^6
Use the exponent rules to simplify:
(b^2c^3 * bc^5)^3 / (6b^3c^10)
(b^6c^14)/(6)
22w0m-1
4/m