Questions on Algebra: Negative and Fractional exponents answered by real tutors!

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Question 194579: When working with exponents, is there any difference in operations if the exponents are whole numbers or fractions? In what sense do exponents and radicals behave exactly the same way? Provide examples
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Question 195424: what is the answer to- x^1/3-2/5=0?
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Question 195530: Can you show me step by step how to solve this?
8^-5*8^7
________
8^2

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Question 196379: can you please help me determine how many x-intercepts the parabola has and weather its vertex liesabove or below or on the x-axis?(((y=x^2-5x+6)))
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Question 196382: can you please help me solve by completing the square(((x^2-6x=16)))
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Question 196381: can you please help me determine how many x-intercepts the parabola has and weather its vertex liesabove or below or on the x-axis?(((y=-x^2+2x-1)))
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Question 196377: Please help me answer: (((In the equation ax^2+bx+c=0, the value of b^2-4ac is called the discriminant of the quadratic equation. What does the value tell you about the real roots of the equation?)))
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Question 196373: Can you please help me solve the following by using the quadratic formula and leave irrational roots in the simplest radical form:2x^2-3x+1=0)))
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Question 196370: Can you please help me solve and leave in simplest radical form the following: (((x^2+8x= -16)))
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Question 196843: please help me solve (-3x^2-x-7) - (x^2+4x-9)
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Question 196843: please help me solve (-3x^2-x-7) - (x^2+4x-9)
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Question 197952: Write the simplified form of
7^a+2 - 8(7^a+1) + 5(7^a) + 49(7^a-2)

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Question 197968: can you please help me complete the square of: ((( x^2+12x+_____ )))
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Question 197969: can you please help me complete the square of: ((( x^2-6x+____ )))
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Question 197970: can you please help me solve by completing the square of ((( 2x^2-3x+1=0 )))
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Question 197971: can you please help me solve by completing the square ((( x^2-x-1=0 )))
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Question 198265: can you please help me complete the square of ((( x^2-6x+___ )))
x%5E2-6x%2Bhighlight%28%28-6%2F2%29%5E2%29
x%5E2-6x%2Bhighlight%28%28-3%29%5E2%29
x%5E2-6x%2Bhighlight%289%29 is the answer.

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Question 198264: can you please help me solve by completing the square of ((( x^2-x-1=0 )))
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Question 198266: can you please help me determine how many x-intercepts the parabola has and wether its vertex lies above or below or on the x-axis ((( y=x^2-5x+6 )))
y=x%5E2-5x%2B6------(1)
x intercept ==> y=0. So put y=0 in (1)
==> x%5E2-5x%2B6=0
==> %28x-3%29%28x-2%29=0
==> x={2,3}
So the parabola have two x intercepts.
Since the sign of x^2 is positive, the parabola has a minimum at its vertex.
Vertex is [-b/2a,f(-b/2a)]= (5/2,-1/4) So the vertex lies below the x axis.

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Question 198267: can you please help me slove and leave in simplest radical form((( x^2+8x=16 )))
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Question 198268: can you please help me answer ((( x varies directly as the square of s and iversely as t. How does x change when s is doubled? When both s and t are doubled? )))
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Question 198377: How do I solve this equation
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Question 197948: Simplify:
(x^2y^3z^-2)^-3 (x^-3yz^3)^-1/2
_______________________________
(xyz^-3)^-5/2

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Question 198378: How would you simplify (1+(1/x))/(1-(1/x^2))?
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Question 198378: How would you simplify (1+(1/x))/(1-(1/x^2))?
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Question 198559: (1/9) ^ (-3/2)
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Question 198531: Simplify the expression: (14B^2-7B/12B^3+24B^2) / (2B-1/B^2+2B)
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Question 198583: if g(x)=3x squared-4x+1
What is the value of g(-2)?

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Question 198590: 16x^5y^-8/x^7y^4*(x^3y^2/8xy)^4
PLEASE HELP ME ASAP I HAVE A FINAL ON THIS TOMORROW AND IM SO CONFUSED AND MY TEACHER IS HELPLESS. PLEASE IM BEGGING!!

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Question 198756: Can you please help me simplify 3a%5E-2 and %28x%5E2y%5E-3%29%5E2 please i really need help i have a test tomarrow and i still don't understand this stuff.
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Question 198535: Reduce the given complex fraction into simple fraction. (a-2/a+2) + (a-2) / (a) - (3a+12/a+2)
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Question 199304: hi, i had a question about negative exponents, how would i solve 1.6 multiplied by 10 to the negative 19.
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Question 199304: hi, i had a question about negative exponents, how would i solve 1.6 multiplied by 10 to the negative 19.
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Question 199318: i need help for me to pass my course i need to find the answers to these
remove brackets and collect like terms for the following expressions
A) 5(2a-b)
B) (3x+2)-(4x-Y)
C) 3x(x+3)+x squared
D) (x+y)(x-2y)

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Question 199511: Simplify the product: (3cd^6)^2(cd)^5
[A]3c^3d^17 [B]3c^7d^17 [C]9c^7d^11 [D]9c^7d^17

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Question 200924: The following function computes the cost, C (in millions of dollars), of implementing a city recycling project when x percent of the citizens participate. C(X)=1.4x/100-x
a)Using the model, find the cost if 60% of the citizens participate.
b)Using the model, determine the percentage of participation that can be expected if $4 million is spent on this recycling project. Set up an equation and solve algebraically. Round to the nearest whole percent.

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Question 201778: On a practice test that I took it said that the equation of
A^-3 B^1/3 A^3/4 B^3 = B^10/9
-------
A^ 9/4
I want to know how that is the correct answer

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Question 202571: -3b - 6 + 7b =6 what does B = ?
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Question 202827: Solve. (2x^2+3x-1)^2/3=4
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Question 204150: Please assist me by Simplifying without negative exponents: [xy^5/x^-4y^2]^-2
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Question 204535: x^(-2)=16
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Question 204533: x%5E%281%2F2%29=3
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Question 205091: how to solve this 8.7x 10 to the negative 4th power
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Question 205311: -3t - 5= 6 + 7t
A)4
B)10/11
C)-10/11
D)-11/10

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Question 205465: 2/3p = 8/9
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