Rewrite the expression in the form y^(n). (y^(-(1)/(2)))^(4)=◻

Identify base and exponents: Identify the base and the exponents in the expression (y^(-(1)/(2)))^(4). The base is y and the exponents are -(1)/(2) and 4. We need to apply the power of a power rule, which states that (a^m)^n = a^(m*n).Apply power of a power rule: Apply the power of a power rule to the expression (y^(-(1)/(2)))^(4). Using the rule, we multiply the exponents: -(1)/(2) * 4.Perform exponent multiplication: Perform the multiplication of the exponents. -(1)/(2) * 4 = -1/2 * 4/1 = -4/2.Simplify multiplication result: Simplify the result of the multiplication. -4/2 simplifies to -2.Write final expression: Write the final expression using the simplified exponent. The expression (y^(-(1)/(2)))^(4) simplifies to y^(-2).

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Rewrite the expression in the form
y^(n).

(y^(-(1)/(2)))^(4)=◻

Rewrite the expression in the form $y^{n}$ . $\newline$ $\left(y^{-\frac{1}{2}}\right)^{4}=\square$

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Algebra 2

Evaluate exponential functions

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Q. Rewrite the expression in the form

y^{n}

\newline

\left(y^{-\frac{1}{2}}\right)^{4}=\square

Identify base and exponents: Identify the base and the exponents in the expression $(y^{-(1)/(2)})^{4}$ . The base is $y$ and the exponents are $-\frac{1}{2}$ and $4$ . We need to apply the power of a power rule, which states that $(a^{m})^{n} = a^{m*n}$ .
Apply power of a power rule: Apply the power of a power rule to the expression $(y^{-(1)/(2)})^{4}$ . Using the rule, we multiply the exponents: $-\frac{1}{2} \times 4$ .
Perform exponent multiplication: Perform the multiplication of the exponents. $-\frac{1}{2} \times 4 = -\frac{1}{2} \times \frac{4}{1} = -\frac{4}{2}$ .
Simplify multiplication result: Simplify the result of the multiplication. $-\frac{4}{2}$ simplifies to $-2$ .
Write final expression: Write the final expression using the simplified exponent. $\newline$ The expression $(y^{-(\frac{1}{2})})^{4}$ simplifies to $y^{-2}$ .