can anyone please help me on my homework.
it only two question and i'm stuck.it Hard for me.

Question

can anyone please help me on my  homework.
it only two question  and i'm stuck.it Hard for me.

anonymous · Answer

$$1)   3,125\frac{ 4 }{ 5 }$$

anonymous · Answer

$$2)\left(\begin{matrix}125 \ 8\end{matrix}\right)\frac{ 2 }{ 3 }$$

anonymous · Answer

Best reward for best answer.please show your working.

mathmale · Answer

Raince, it's important that you include the instructions with each problem you post.  

I admire you for using Equation Editor to post your expression, but without explanations it's hard to know what you mean.  Is that (2/3) a factor?  a multiplicand?  an exponent?  

What does $$\left( \frac{ 125 }{ 8 } \right)$$

mathmale · Answer

mean to you?  

What does $$\left(\begin{matrix}125 \ 8\end{matrix}\right) $$

mathmale · Answer

mean to you?

anonymous · Answer

you just have to find the value of the following.

anonymous · Answer

it means 25 over 8. squared with 2/3.'Rational expression'.

anonymous · Answer

2/3 is a exponent.

mathmale · Answer

$$\left(\begin{matrix}125 \ 8\end{matrix}\right)\frac{ 2 }{ 3 }  $$
Now you tell me that you mean$$\left( \frac{ 125 }{ 89 } \right)^{2/3}.$$   If you have any doubt regarding how to type in an expression in Equation Editor, use the Draw facility instead to avoid misinterpretations such as the one that hs happened here.

mathmale · Answer

$$125^{2/3}$$  can be re-written as $$[125^{1/3}]^2$$

Perhaps you recognize that 125 is the cube of 5.  Therefore, 125 ^ (1/3) =5.

Squaring the resulting expression results in 5^2 = 25.

Hope this helps.  

Please re-write the other expression using the Draw facility, if at all possible.  That will make it easier for someone else to help you.  Unfortunately, I need to get off the Internet now.  Best of luck to you.  mathmale, Moderator

anonymous · Answer

:( thanks!

anonymous · Answer

i type it correctly.it 125/8 with the power of 2/3

anonymous · Answer

main topic is maipulating of exponent.

skullpatrol · Answer

$$\Huge  a^m*  a^n=a^{m+n}$$

$$\Huge  (a^m)^n=a^{mn}$$

$$\Huge  (ab)^m=a^m*b^m$$

mathmale · Answer

Your$$3,125\frac{ 4 }{ 5 }$$  would be much clearer if typed as $$3,125^\frac{ 4 }{ 5 }$$   My first move would be to determine whether or not 3125 is the 5th power of some number.
$$3125^\frac{ 4 }{ 5 }=[3125^{1/5}]^4$$
Try this:

mathmale · Answer

By all means, do the $$3125^{1/5} part first.$$