Question

What is the simplified form of each expression?

Answer 1

ploaese help..... and explain why.

Answer 2

Any ideas on what to do ?

Answer 3

I've been sick from school for 2 weeks. any links or explaining will be helpful so i can catch up . i dont understand.

Answer 4

okie the problem basically says : \[\rm~(−h^4)*(−h^4)*(−h^4)*(−h^4)*(−h^4)\]
So you multiply...
5 x 4=?

Answer 5

To "solve" this problem, you'll need to use one of the rules of exponentiation.

\[(x^m)^n=x ^{mn}\]

Answer 6

^that works too.

Answer 7

Ricky: Welcome to OpenStudy! Sorry you've been sick.
Can you use the above rule to find\[(h^4)^5?\]

Answer 8

@pooja195 Can you please explain to me how you got to the point of laying it out to solve it? that is the point im getting confused by.

Answer 9

Use what @mathmale wrote.

Answer 10

Howard, I typed out the relevant rule of exponentiations earlier It is\[(x^m)^n=x ^{mn}\]

Answer 11

You are given \[(h^4)^5\]

Answer 12

and should apply that rule directly to find the correct exponent.

Answer 13

"mn" means "the product of m and n."

Answer 14

If m=4 and n=5, what is m*n, or mn?

Answer 15

4x 5 = 20? So the answer would be C? Or D? I'm confused.

Answer 16

then, ricky, \[(h^4)^5=h ^{20}\]

Answer 17

Set that aside temporarily. Please now focus on (-1)^5. What's the value of that?
Hint: use (-1) as a factor 5 times.

Answer 18

(-1)^1=-1
(-1)^2=1
(-1)^3=-1
(-1)^4=1
and so on.

Answer 19

-1 ?

Answer 20

yay, i got that part right. lol.

Answer 21

Yes. Now, what is (-1)(h^20)?

Answer 22

−h20 ?

Answer 23

You have the right idea, but it's important that you write your result here as \[-h ^{20}\]

Answer 24

Please don't get into the habit of writing "h to the 20th power) as h20.

Answer 25

Nice work, Ricky!

Quick! Move on to another problem.