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$Clever | Portal ALEKS - Noah Roberts - Learn www-awa.aleks.com/alekscgi/x/Isl. exe/10_U-IgNsil Real Numbers Exponents and signed fractions Evaluate. Write your answers as fractions. {:[-((3)/(4))^(4)=],[(-(5)/(3))^(2)=]:}$

Clever | Portal $\newline$ ALEKS - Noah Roberts - Learn $\newline$ www-awa.aleks.com/alekscgi/x/Isl. exe/ $10$ _U-IgNsil $\newline$ Real Numbers $\newline$ Exponents and signed fractions $\newline$ Evaluate. Write your answers as fractions. $\newline$ $\begin{array}{l} -\left(\frac{3}{4}\right)^{4}= \\ \left(-\frac{5}{3}\right)^{2}= \end{array}$

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Power rule with rational exponents

Full solution

Q. Clever | Portal

\newline

ALEKS - Noah Roberts - Learn

\newline

www-awa.aleks.com/alekscgi/x/Isl. exe/

10

_U-IgNsil

\newline

Real Numbers

\newline

Exponents and signed fractions

\newline

Evaluate. Write your answers as fractions.

\newline

\begin{array}{l} -\left(\frac{3}{4}\right)^{4}= \\ \left(-\frac{5}{3}\right)^{2}= \end{array}

Quotient Rule for $(-\frac{3}{4})^4$ : Use the power of a quotient rule for $(-\frac{3}{4})^4$ . $\newline$ $(-\frac{3}{4})^4 = (\frac{(-3)^4}{4^4})$
Calculate $(-3)^4$ : Calculate $(-3)^4$ . $\newline$ $(-3)^4 = 81$
Calculate $4^4$ : Calculate $4^4$ . $\newline$ $4^4 = 256$
Combine First Expression: Combine the results for the first expression. $\frac{81}{256}$
Quotient Rule for $(-(5/3))^2$ : Use the power of a quotient rule for $(-(5/3))^2$ . $\newline$ $(-(5/3))^2 = ((-5)^2)/(3^2)$
Calculate $(-5)^2$ : Calculate $(-5)^2$ . $\newline$ $(-5)^2 = 25$
Calculate $3^2$ : Calculate $3^2$ . $\newline$ $3^2 = 9$
Combine Second Expression: Combine the results for the second expression. $\frac{25}{9}$

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