SOLUTION: could you show me step by step how to do this problem:1/x^-4 Also could you tell me if this problem is right:5^-3*5^7=625 I know these are probably easy ones but I always second

Algebra ->  Expressions -> SOLUTION: could you show me step by step how to do this problem:1/x^-4 Also could you tell me if this problem is right:5^-3*5^7=625 I know these are probably easy ones but I always second       Log On


   

Question 107460: could you show me step by step how to do this problem:1/x^-4
Also could you tell me if this problem is right:5^-3*5^7=625
I know these are probably easy ones but I always second guess myself.
Thank you for your time.
Sincerely,JH
Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First one, unsure what you're asking for because there's no equal sign, it's just an expression.
Please re-post.
Second one.
5%5E-3%2A5%5E7=625
Add exponents with same base.
5%5E-3%2A5%5E7=5%5E%28-3%2B7%29
5%5E-3%2A5%5E7=5%5E%284%29
5%5E-3%2A5%5E7=625
Yes, you are correct.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
show me step by step how to do this problem:
1/x^-4
That negative in the exponent means "invert".
So negative-exponent factors that are in the
numerator move to the denominator
and negative-exponent factors that are in the
denominator move to the numerator:
Your Problem:
1/x^-4 = x^4
=====================



Also could you tell me if this problem is right:
5^-3*5^7=625
-------------
Your Problem:
5^-3*5^7
Since the bases are the same,add the exponents to get:
=5^4
Simplify
= 625
=============
Cheers,
Stan H.