Question

Can someone help me with Algebra I B in Connexus?

Answer 1

Here's the problem I need help on.

Answer 2

Yeah I can. Just give me a second.

Answer 3

The answer would be 2.25

Answer 4

you still have to multiply the x's

Answer 5

Could you show me how to do it in a step by step process so I understand how to do it on my own?

Answer 6

Yeah one second. I have to type it.

Answer 7

1. Use distributive property
6^2 (x^-2)^2 (0.5x)^4

2. Simplify 6^2 to 36
36(x^-2)^2(0.5x)^4

3. Simplify (x^-2)^2 to x^-4
36x^-4 (0.5x)^4

4. Use the Negative Power Rule
36 * 1/x^4 (0.5x)^4

5. USe Distributive Property
36 * 1/x^4 * 0.5^4 x^4

6.Simplify 0.5^4 to 0.0625
36 * 1/x^4 * 0.0625 x^4

7. Simplify again
2.25x^4/x^4

8. Cancel x^4
2.25

Answer: 2.25

Answer 8

^ = x to the power of x
* = multiplication
/ = fraction/division

Answer 9

There is no division
x^4 * x^4

Answer 10

(x^-2)^2 = x^4

Answer 11

When you x^4 on top and on the bottom of a fraction you cancel them out. I have done algebra for the past two years I know this.

Answer 12

the exponents multiply and a negative times a negative is posative

Answer 13

And according to the Negative Power Rule, if you have a number to the negative power, you need to move it to the bottom of a equation to make it positive

Answer 14

You have to multiply the exponet 2 and -2 which is a negative

Answer 15

exponents*

Answer 16

you are not multiplying a fration

Answer 17

I know that. That is not what I said.

Answer 18

if you moved it to the bottom you would have 6/x^4 *(0.5x)^4

Answer 19

Exponents 2 and -2 make -4 which has to become the denominator of the equation.

Answer 20

Exactly! Then the exponent 4 would have to be distributed to both the x and the 0/5

Answer 21

0/5*

Answer 22

0.5*

Answer 23

which would make 36 * 0.0625^4/x^4

Answer 24

That simplifies to 2.25x^4/x^4

Answer 25

Cancel out the x^4 and you have 2.25. Do you get what I am saying?

Answer 26

I wouldn't think so, but I could be wrong. I do understand what you are saying, but I do not agree with it. But you could be right.

Answer 27

I could be wrong as well. I guess we will just have to see which is correct once the questioner (is that how you would say it? lol) gets back.

Answer 28

I just typed this into a graphing calculator and it came back as 1 E -4
Since I don't have a value for x I am assuming it returned a one and a -4.
That would make you correct,
Good Job. I learned something :)

Answer 29

OMG thanks guys!