Simplifying Expressions
Simplify:
18 - 6x + 5x -11
-x + 7
Factor:
2m-28
2(m-14)
Solve:
3ab + 13ab
16ab
What does the zero exponent rule say?
Any term to the power of 0 is equal to 1.
Write in standard form:
48 - 3x
-3x + 48
Solve and write in correct scientific notation form:
(4.5 x 10^ -6) x (1.2 x 10^ 2)
5.4 x 10^ -4
Simplify:
6(w + 3)
6w + 18
Factor:
6x+24
6(x+4)
Solve:
(5^10) x (5^2)
5^12
Example: x ^ -3
How would I rewrite this with a positive exponent?
Any term raised to a negative exponent must be rewritten as a fraction where the term is the denominator.
Example: x^ -3 = 1/x^3
Write in standard form:
(4y^2) + 25 - 13y + (y^4)
(y^4) + (4y^2) -13y + 25
Solve and write in correct scientific notation form:
(4 x 10^ -3) - (9.8 x 10^ -5)
3.902 x 10^ -3
Simplify:
-4(3x - 4)
-12x + 16
Factor:
16y - 28
4(4y-7)
Solve:
(r^-4) x (s^2) x (r^-3) x (s^12)
(s^14) / (r^7)
When using the product rule, what do I do with the exponents?
Add them
Solve:
(9n - 16) + ( -1 + 3n)
12n - 17
Solve and write in correct scientific notation form:
(9 x 10^ -4) x (4 x 10^ 10)
3.6 x 10^ 7
Simplify:
8p - (5p - 13) - 27 +4p
7p - 14
Factor:
-7 -9n +14n +2
5(n-1)
Solve:
(-36k^ 4) / (3k^ 3)
-12k
When using the quotient rule, what do I do with the exponents?
subtract them
Solve:
(23 - 8c) - (5c - 1)
-13c + 24
Solve and write in correct scientific notation form:
(2 x 10^ 13) / (5 x 10^ 3)
4 x 10^ 9
Simplify:
-5x -4(x + 2y) + 9y - 7x
-16x + y
Factor:
26x - 2(3x +4y) -10y
2(10x - 9y)
Solve:
(-5x^3) / (-15x^ -4)
x^7 / 3
When using the power rule, what do I do with the exponents?
multiply them
(6 + y + 14x) + ( -3x - 18 - 5y)
-4y + 11x -12
Solve and write in correct scientific notation form:
(2x 10^ 3) / (6.4 x 10^ 9)
3.125 x 10^ -7