The Rules of Exponents
3²*3^4 = -8a^12/b^6
What property was used?
Product of Powers
Multiply:
(n²+4n-6)(n+2)
n³+6n²+2n-12
Divide:
10y^5/2y^2
5y³
Solve:
(x²+3x-40) ÷ (x-5)
x+8
Solve:
(2a²-4a-8) ÷ (a+1)
2a-6 : -2/a+1
1/b^-7 = b^7
What property was used?
Negative Exponents
Multiply:
3x²(4x² – 5x + 7)
12^4-15x³+21x²
Divide:
-6r³/4r^4
3/2r
Solve:
(x²-13x+12) ÷ (x-1)
x-12
Solve:
(2x³+3x²-4x+15) ÷ (x+3)
2x²-3x+5
q² r^4/q^7 r³ = r/q^5
What property was used?
Quotients of Power
Simplify:
(x²-5x+2)-(3x²+x-1)
-2x²-6x+3
14x³-6x²+2x/2x
7x²-3x+1
Solve:
(a²-8a-26) ÷ (a+2)
a+13
Solve:
(4a^4+2a²-4a+12) ÷ (a+2)
4a³-8a²+18a-20 : 92/a+2
(2a-²)(3a³ b²)(c-²) = 6ab²/c²
What property was used?
Negative Exponents
Divide:
-7x^5 y^5 z^4/21x^7 y^5 z²
z²/3x²
Divide:
27y^4+6y²-18/-6y
-9/2 y³ - y + 3/y
Solve:
(2a²-4a-8) ÷ (a+1)
2a+8
Solve:
(g^4-3g²-18) ÷ (g-2)
g³+2g²+g+2 : -12/g-2
(-2a^4/b²)³ = -8a^12/b^6
What properties were used?
Power of Quotient, Power of a Product, Power of a Power
Solve:
4(a²+5a-6)-3(2a³+4a-5)
-6a³+4a²-8a+50
Divide:
30f^4-10f³+f²-20/10f²
3f²-f+ 1/10 -2
Solve
(x²+3x-9)(4-x)-¹
x-1 : -13
Solve:
(x^5-4x³+4x²) ÷ (x-4)
x^4+4x³+12x²+52x+208: 832/x-4