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Simplify. Express $y$ $\newline$ $(3y^{8})^{2}$

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Simplify radical expressions involving fractions

Full solution

Q. Simplify. Express

y

\newline

(3y^{8})^{2}

Apply power rule: Apply the power of a power rule, which states that $a^m)^n = a^{m*n}\ for any real number \$a$ and integers $m$ and $n$ . \(3y^{ $8$ })^{ $2$ } = $3$ ^{ $2$ } * (y^{ $8$ })^{ $2$ }\
Calculate power of $3$ : Calculate the power of $3$ . $3^{2} = 9$
Calculate power of y: Calculate the power of $y^{8}$ raised to the power of $2$ . $\newline$ $(y^{8})^{2} = y^{8*2} = y^{16}$
Combine results: Combine the results from the previous steps to get the final simplified expression. $\newline$ $(3y^{8})^{2} = 9 \times y^{16}$

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