Answer
a) $a^6$
b) $a^{18}$
c) $\frac{5x^9}{8}$
Work Step by Step
a) $\frac{a^{9}a^{-2}}{a}$ = $a^{9-2-1}$ = $a^{6}$
b) $(a^{2}$$a^{4})^3$ = $a^{(2+4)}$$^{3}$ = $a^{(6)}$$^{(3)}$ = $a^{18}$
c) $(\frac{x}{2})$$^3$(5$x^6$) = $\frac{x^3}{2^3}$(5$x^6$) = $\frac{5x^3x^6}{8}$ = $\frac{5x^{3+6}}{8}$ = $\frac{5x^{9}}{8}$
