# How do you write 6^-4*6^7 using only positive exponents?

Sep 25, 2016

${6}^{3}$ or as $216$

#### Explanation:

The laws if indices stay the same whether the indices are numbers or variables.

${x}^{-} 4 \times {x}^{7}$ would be done by either

$\frac{1}{x} ^ 4 \times {x}^{7} = {x}^{3} \text{ "or" } {x}^{- 4 + 7} = {x}^{3}$

In exactly the same way:

#6^-4 xx 6^7 would be done by either

$\frac{1}{6} ^ 4 \times {6}^{7} = {6}^{3} \text{ "or " } {6}^{- 4 + 7} = {6}^{3}$

This can be given as ${6}^{3}$ or as $216$