Fully simplify. (6x^(5)y^(2))^(3) Answer:

Apply Power Rule: Apply the power of a power rule to the expression. The power of a power rule states that (a^(m))^n = a^(m*n). We will apply this rule to each part of the expression (6x^(5)y^(2))^(3).Apply Rule to Coefficient: Apply the rule to the numerical coefficient. (6^(3)) = 6*6*6 = 216.Apply Rule to x Variable: Apply the rule to the x variable. (x^(5))^3 = x^(5*3) = x^(15).Apply Rule to y Variable: Apply the rule to the y variable. (y^(2))^3 = y^(2*3) = y^(6).Combine Results: Combine the results from steps 2, 3, and 4. The fully simplified expression is 216x^(15)y^(6).

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Fully simplify.

(6x^(5)y^(2))^(3)
Answer:

Fully simplify. $\newline$ $\left(6 x^{5} y^{2}\right)^{3}$ $\newline$ Answer:

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Algebra 2

Simplify radical expressions with root inside the root

Full solution

Q. Fully simplify.

\newline

\left(6 x^{5} y^{2}\right)^{3}

\newline

Answer:

Apply Power Rule: Apply the power of a power rule to the expression. $\newline$ The power of a power rule states that $(a^{m})^{n} = a^{m*n}$ . We will apply this rule to each part of the expression $(6x^{5}y^{2})^{3}$ .
Apply Rule to Coefficient: Apply the rule to the numerical coefficient. $\newline$ $(6^{3}) = 6\times6\times6 = 216$ .
Apply Rule to $x$ Variable: Apply the rule to the $x$ variable. $(x^{5})^{3} = x^{5\cdot3} = x^{15}.$
Apply Rule to $y$ Variable: Apply the rule to the $y$ variable. $\left(y^{2}\right)^{3} = y^{2\cdot3} = y^{6}$ .
Combine Results: Combine the results from steps $2$ , $3$ , and $4$ . The fully simplified expression is $216x^{15}y^{6}$ .