Order of Operations and sets
Simplify:
sqrt(5^2 -4^2)-7cdot3
-18
{-4, 2, 1/3, 0.344, pi, sqrt16, sqrt5, 0}
Which number(s) in this set are:
a. Whole Numbers
b. Irrational Numbers
a. {0, 2}
b.
{pi, sqrt5}
Negative exponents do not make the answer negative, they just _____________ factors from the numerator to the ______________.
move, denominator
Simply:
5(-2)^-2-4(3)^-2
25/36
Simplify:
root(3)(250x^6y^5)
5x^2yroot(3)(2y^2)
Evaluate if x = -4
-x^2 +(x-3)^2
33
True or False: The number below is a real number:
sqrt(-4)
False
Write this with a rational (fractional) exponent rather than in its radical form:
xsqrtx
x^(3/2)
Simplify:
(4x^-3y^4)^2/(xy)
16y^7/x^5 or (16y7)/x^5
Rationalize the denominator:
3/(2-sqrt(7))
(3(2+sqrt(7)))/-3 or -2-sqrt(7)
Evaluate for x = -2, y = 5 and z = -4:
x-z+yz-:2
-8
Evaluate if x = -3:
-x^2 -|x-4|
-16
Simplify:
4^(2x-3)cdot4^(x+2)
4^(3x-1)
Simplify:
(a+b)^2/(sqrt(a+b))
(a+b)^(3/2)
Multiply and simplify:
5sqrt(2x^3)cdot-2sqrt(6x^5)
-20x^4sqrt3
If A = {1, 3, 5, 7, 9} and B = {1, 2, 3, 4, 5}, What is
AnnB
{1, 3, 5}
If I want to simplify the problem below:
a. I should use the _______________ property
b. and get __________
5/7 cdot-2/3cdot7/5
a. commutative
b.
-2/3
Simplify and use only positive exponents in your answer:
(-8x^3y^3)/(2xy^5)
-4x^2/y^2 or (-4x^2)/y^2
Simplify and write in scientific notation:
(4.2xx10^-4)(5.6xx10^6)=
2.352xx10^3
Add/subtract and simplify:
3root(3)(16x^5)-4root(3)(54x^5)
-6xroot(3)(2x^2)
If A = {1, 3, 5, 7, 9} and B = {1, 2, 3, 4, 5}, What is
AuuB
{1, 2, 3, 4, 5, 7, 9}
Use the associative property to simplify this:
(-3/5 +2/3)-2/3
-2/3
Simplify:
((3x^-2)/x^3)^-2
x^10/9 or 1/9x^10
Simplify and write in scientific notation:
(4.2xx10^4)-:(8.4xx10^-3)=
5xx10^6
Fill in the blanks for the expression below:
There are _________ and _________ factors of x. So as a radical it looks like ________________.
x^(7/2)
3,
1/2
x^3sqrtx