Exponent Rules (Variable Base)
(x4y6)(x2y4)
x6y10
(x-7)(x4)
1/x3
Evaluate: 55/53
25
Definition of a Rational number?
Give one example:
What is
Rational numbers are real numbers that can be expressed in fraction form
5
Solve : 112
121
What do you do to the exponents (of the same base) when you are multiplying them?
Add them
What do you do to the exponents (of the same base) when you have a power of a power? (Sometimes called an "outside" )
Multiply them
What do you do to the exponents (of the same base) when you are dividing them?
Subtract them
Square root of 16
What is 4
Solve : 125^3
5
a6b7/a3b5
a3b2
(x3y2)9
x27y18
Solve: (24)-1
1/16
Definition of Irrational numbers
Give an example
What is:
Irrational numbers are real numbers that can not be represented as a fraction
6.025478329187...
(A)repeating decimal w/example
(B) terminating decimal
What is:
A. a decimal where a digit or digits repeat over and forever 7.222...
B. a decimal that ends on an invisible zero
(4a2b3c4)2
16a4b6c8
(x-4y2)3
y6/x12
Solve: 39/39
1
Cube root of 27
What is 3
Identify the base and exponent
254
What is
25 is the base
4 is the exponent
(3m-3n5)(5m7n-2)
15m4n3
10c5d4/5c7d8
2/c2d4
Solve then put in Order from Least to Greatest:
a. (23)-2 b. (62)(6) c. 46/42
{a.1/64, b.216, c.256}
Multiply the square root of 81 times the cube root of 64
What is:
9 X 4 = 36
Simplify: 52x-4y5/z-10
25y5z10/x4