Question

Simplify and express with positive exponents $\frac{169\times x^{-5}}{{13}^{-3}\times 26\times x^{-5}}$

Answer 1

$\frac{169\times x^{-5}}{{13}^{-3}\times 26\times x^{-5}}=\frac{{13}^2}{{13}^{-3}\times 2\times 13}=\frac{{13}^2\times {13}^3}{2\times 13}=\frac{{13}^{2+3-1}}{2}=\frac{{13}^4}{2}$