SOLUTION: The problem says'Simplify each expression, use only positive exponents' (2r^-1^s^2^t^0^)^-2^ ___________ ________ 2rs the ^ sign represents the exponents for examp

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The problem says'Simplify each expression, use only positive exponents' (2r^-1^s^2^t^0^)^-2^ ___________ ________ 2rs the ^ sign represents the exponents for examp      Log On


   

Question 785301: The problem says'Simplify each expression, use only positive exponents'
(2r^-1^s^2^t^0^)^-2^
____________________
2rs
the ^ sign represents the exponents for example ^3^ is an exponent in the problem. the exponent -2 is at the end of the parenthesis in the numerator ONLY. Please help. Thank you!
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
%282r%5E%28-1%29s%5E2t%5E0%29%5E%28-2%29%2F2rs
t%5E0=1

When a parenthesis has an exponent outside, that exponent is multiplied times each of the exponents inside the parenthesis.
(If something inside the parenthesis does not show an exponent, it counts as having 1 for an exponent).

Multiplying times a power is the same as dividing by a power with the exponent sign changed, so
instead of multiplying times 2%5E%28-2%29, we can divide by 2%5E2, and
instead of multiplying times s%5E%28-4%29, we can divide by s%5E4.