Final answer:
To simplify the expressions, apply the power rule and then perform the necessary calculations.
Step-by-step explanation:
To simplify the expression 2(27(m^4)n)^0.5, we can apply the power rule which states that (a^m)^n = a^(m*n). Using this rule, we can simplify the expression to 2 * (27 * (m^(4*0.5)) * n^(1*0.5)). Simplifying further, we get 2 * (27 * (m^2) * (n^0.5)), which can be rewritten as 2 * 27 * m^2 * n^0.5. Finally, multiplying the coefficients, we have 54 * m^2 * n^0.5 as the simplified form of the expression.
For the expression -2(147(a^2)(b^4))^0.5, we can similarly apply the power rule to the inner terms, resulting in -2 * (147 * (a^(2*0.5)) * (b^(4*0.5))). Simplifying further, we have -2 * (147 * a * (b^2)), which can be written as -294 * a * b^2.
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