Question

Simplify the expression, leave your answer in exponential form :

Can you show the steps!??

Answer 1

`\bf ~~~~~~~~~~~~\textit{negative exponents} \\\\ a^(-n) \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^(-n) \qquad \qquad a^n\implies \cfrac{1}{a^(-n)} \\\\ -------------------------------\\\\ \left( \cfrac{16y^0z^(-8)}{x^{(1)/(2)}} \right)^{-(3)/(4)}\implies \left( \cfrac{x^{(1)/(2)}}{16y^0z^(-8)} \right)^{(3)/(4)}\implies \left( \cfrac{x^{(1)/(2)}}{16(1)z^(-8)} \right)^{(3)/(4)}`


`\bf \left( \cfrac{x^{(1)/(2)}}{16z^(-8)} \right)^{(3)/(4)}\implies \left( \cfrac{x^{(1)/(2)\cdot (3)/(4)}}{16^{(3)/(4)}z^{-8\cdot (3)/(4)}} \right)\implies \left( \cfrac{x^{(3)/(8)}}{(2^4)^{(3)/(4)}z^(-6)} \right) \\\\\\ \left( \cfrac{x^{(3)/(8)}}{2^{4\cdot (3)/(4)}z^(-6)} \right)\implies \left( \cfrac{x^{(3)/(8)}}{2^3z^(-6)} \right)\implies \cfrac{x^{(3)/(8)}z^6}{8}`