# How do you write m^-3*m^-1 using only positive exponents?

Sep 4, 2016

$\frac{1}{m} ^ 4$
Use the law if indices which states: ${x}^{-} m = \frac{1}{x} ^ m$
${m}^{-} 3 \times {m}^{-} 1 = \frac{1}{{m}^{3} \times {m}^{1}} = \frac{1}{m} ^ 4$