Rewrite the expression in the form z^(n). z^((3)/(4))*z^(2)=

Identify properties of exponents: Identify the properties of exponents to use. When multiplying expressions with the same base, we add the exponents according to the property a^m * a^n = a^(m+n). We will apply this property to the expression z^((3)/(4))*z^(2).Add the exponents: Add the exponents. z^((3)/(4))*z^(2) can be rewritten as z^((3)/(4) + 2). To add the exponents, we need to find a common denominator, which in this case is 4, so we rewrite 2 as 8/4. z^((3)/(4) + 8/4) simplifies to z^((3+8)/(4)).Perform addition of numerators: Perform the addition of the numerators. z^((3+8)/(4)) simplifies to z^((11)/(4)). This is the expression in the form z^(n).

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

z^((3)/(4))*z^(2)=

Rewrite the expression in the form $z^{n}$ . $\newline$ $z^{\frac{3}{4}} \cdot z^{2}=$

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Math Problems

Algebra 2

Evaluate exponential functions

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Q. Rewrite the expression in the form

z^{n}

\newline

z^{\frac{3}{4}} \cdot z^{2}=

Identify properties of exponents: Identify the properties of exponents to use. $\newline$ When multiplying expressions with the same base, we add the exponents according to the property $a^m \times a^n = a^{m+n}$ . We will apply this property to the expression $z^{\left(\frac{3}{4}\right)}\times z^2$ .
Add the exponents: Add the exponents. $\newline$ $z^{(\frac{3}{4})}\cdot z^{2}$ can be rewritten as $z^{(\frac{3}{4} + 2)}$ . $\newline$ To add the exponents, we need to find a common denominator, which in this case is $4$ , so we rewrite $2$ as $\frac{8}{4}$ . $\newline$ $z^{(\frac{3}{4} + \frac{8}{4})}$ simplifies to $z^{(\frac{3+8}{4})}$ .
Perform addition of numerators: Perform the addition of the numerators. $z^{(\frac{3+8}{4})}$ simplifies to $z^{(\frac{11}{4})}$ . This is the expression in the form $z^{n}$ .