Question

Express in exponential notation:

A) ${(-\frac{7}{2})}^{11}\times {(-\frac{7}{2})}^5$

B) ${\left(\frac{13}{17}\right)}^4÷{\left(\frac{13}{17}\right)}^7$

Answer 1

${(-\frac{7}{2})}^{11}\times {(-\frac{7}{2})}^5={(-\frac{7}{2})}^{11+5}={(-\frac{7}{2})}^{16}{\left(\frac{13}{17}\right)}^4÷{\left(\frac{13}{17}\right)}^7={\left(\frac{13}{17}\right)}^{4-7}={\left(\frac{13}{17}\right)}^{-3}={\left(\frac{17}{13}\right)}^3$