What expression is equivalent to (xy^(7)z^(3))^(6) ? Enter numbers in the boxes provided.

Apply Power Rule: Apply the power of a power rule. The power of a power rule states that (a^(m))^n = a^(m*n). We will apply this rule to each variable and its corresponding exponent in the expression.Apply Rule to x: Apply the rule to the variable x. Since x has an implied exponent of 1, we have (x^(1))^6 = x^(1*6) = x^(6).Apply Rule to y: Apply the rule to the variable y with exponent 7. We have (y^(7))^6 = y^(7*6) = y^(42).Apply Rule to z: Apply the rule to the variable z with exponent 3. We have (z^(3))^6 = z^(3*6) = z^(18).Combine Results: Combine the results from steps 2, 3, and 4. The combined expression is x^(6)y^(42)z^(18).

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What expression is equivalent to
(xy^(7)z^(3))^(6) ?
Enter numbers in the boxes provided.

What expression is equivalent to $\left(x y^{7} z^{3}\right)^{6}$ ? $\newline$ Enter numbers in the boxes provided.

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Algebra 2

Sin, cos, and tan of special angles

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Q. What expression is equivalent to

\left(x y^{7} z^{3}\right)^{6}

\newline

Enter numbers in the boxes provided.

Apply Power Rule: Apply the power of a power rule. $\newline$ The power of a power rule states that $(a^{m})^{n} = a^{m*n}$ . We will apply this rule to each variable and its corresponding exponent in the expression.
Apply Rule to $x$ : Apply the rule to the variable $x$ . Since $x$ has an implied exponent of $1$ , we have $(x^{1})^{6} = x^{1\times6} = x^{6}$ .
Apply Rule to $y$ : Apply the rule to the variable $y$ with exponent $7$ . We have $(y^{7})^{6} = y^{7\times6} = y^{42}$ .
Apply Rule to $z$ : Apply the rule to the variable $z$ with exponent $3$ . We have $(z^{3})^{6} = z^{3\times6} = z^{18}$ .
Combine Results: Combine the results from steps $2$ , $3$ , and $4$ . The combined expression is $x^{6}y^{42}z^{18}$ .