How do you simplify (8b^2)(2b^-8)(2b^-6)?

Feb 16, 2016

(8b^2)(2b^(-8))(2b^(-6))=color(green)(32b^(-12) or $\textcolor{g r e e n}{\frac{32}{b} ^ 12}$

Explanation:

Remembering that ${b}^{p} \times {b}^{q} = {b}^{p + q}$

Re-arrange the factors, grouping the constants together and the powers of $b$ separately:
$\left(8 {b}^{2}\right) \left(2 {b}^{- 8}\right) \left(2 {b}^{- 6}\right)$
$\textcolor{w h i t e}{\text{XXX}} = \left(8 \times 2 \times 2\right) \left({b}^{2} \times {b}^{- 8} \times {b}^{- 6}\right)$

$\textcolor{w h i t e}{\text{XXX}} = 32 {b}^{- 12}$