SOLUTION: What is the simplified expression of {{{ (8k^3m^(-6))^(1/3) }}} I got 2k/m^2 in order to answer with positive exponents

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: What is the simplified expression of {{{ (8k^3m^(-6))^(1/3) }}} I got 2k/m^2 in order to answer with positive exponents       Log On


   



Question 791084: What is the simplified expression of +%288k%5E3m%5E%28-6%29%29%5E%281%2F3%29+
I got 2k/m^2 in order to answer with positive exponents

Found 2 solutions by Edwin McCravy, rothauserc:
Answer by Edwin McCravy(20062) About Me  (Show Source):
You can put this solution on YOUR website!
+%288k%5E3m%5E%28-6%29%29%5E%281%2F3%29+

Write 8 as 23

+%282%5E3k%5E3m%5E%28-6%29%29%5E%281%2F3%29+

To remove the parentheses, multiply each exponent 
inside the parentheses by the exponent just above
outside the parentheses on the right:

So multiply both both 3 exponents and the -6 exponent 
which are inside the parentheses by the 1%2F3 exponent
outside the parentheses.  You get:

+2%5E1k%5E1m%5E%28-2%29+

Next use the rule that a negative exponent can be moved
form numerator to denominator or denominator to
numerator by changing the sign of the exponent to
positive:

+2%5E1k%5E1%2Fm%5E2+

And of course you can erase the 1 exponents:

+2k%2Fm%5E2+, looks like you're exactly right!

Edwin



Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
when an algebraic expression is raised to an exponent, we multiply each element of the algebraic expression by that exponent, and we get
(8)^1/3 *k *(m)-2
now we can simplify this expression
2k / m^2