Product Rule
x^3 * x^6
x^9
(x^4)^5
x^20
x^7/x^3
x^4
x-5
1/(x^5)
Define the Zero Exponent Rule
Any value (known or unknown) to the power of zero is 1
Why do we use scientific notation?
To represent really big or really small numbers
2x^5 * x^7
2x^12
(xy)^6
x^6y^6
(2x^6)/(x^5)
2x
4x^-9
4/(x^9)
Definition of "coefficient"
number that is being multiplied by a variable
Example: in 5x, 5 is the coefficient
Write 1,250,000,000 in scientific notation
1.25 X 109
(4f^8)(6f^4)
24f^12
(4w^5)^2
16w^10
(8x^10)/(4x^3)
2x^7
(5y^3)/(x^-2)
5x2y3
Definition of "exponent"
The number that tells you how many times to multiply a base value by itself
Write .000000000237 in scientific notation
2.37 X 10-10
(n3)-2・2n3
2/(n^3)
4(y^3)^2
4y^6
u^2/u^9
1/(u^7)
(3x^-8)(6x^4)
18/(x^4)
Definition of "product"
the answer to a multiplication problem
Write 1.37 X 107 in standard form.
13,700,000
(8r^5)(2r^-7)
16/r^2
(8w^3y^7)^0
1
(m)/(m^8)
1/(m^7)
(v^5)^-8
1/(v^40)
Definition of "Quotient"
the answer to a division problem
Write 2.46 X 10-5 in standard form.
.0000246
(7s^5p^5)(3s^6p^-5)
21s11
(k3)2 ・ (2k4)2
4k14
(2x^3)/(3x^-2)
(2x^5)/(3)
11a^2 * 3a^-6
33/a^4
Definition of "base":
the number directly before an exponent that is being multiplied by itself
Without using a calculator, which is bigger?
9.99 X 10-7 or 1.11 X 10-6
1.11 X 10-6
.00000111 vs. .000000999