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

2 Answers

3 votes
 the answer is 2m-8/9mn-3n-4
User MikeM
by
6.4k points
2 votes

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.

User Shaohua Huang
by
6.3k points