Which is the correct simplified form of the expression ?(4m-2n8/9m-6n-8)1/2

Question

asked Jan 9, 2019 169k views

2 Answers

Shaohua Huang · Answer 1 · 2019-01-12T22:55:28+0000

Answer:

(2m^2n^8)/(3)

Explanation:

The given expression is:

$((4m^(-2)n^8)/(9m^(-6)n^(-8)  ))^{(1)/(2)}$

Upon simplifying the above equation, we get

Move
m^(-6) to teh numerator and Using the negative exponent rule, we get

=
$((4m^(-2)n^8m^6)/(9n^(-8)  ))^{(1)/(2)}$

Move
n^(-8) to teh numerator and Using the negative exponent rule, we get

=
$((4m^(-2)n^8m^6n^8)/(9))^{(1)/(2)}$

=
$((4m^(4)n^(16))/(9))^{(1)/(2)}$

=
$(((2)^2(m^2)^2(n^8)^2)/((3)^2))^{(1)/(2)}$

=
(2m^2n^8)/(3)

which is the correct simplified form of the given expression.