# How do you write 3(-2a)(-2a)(-2a)(-2a)# in exponential notation?

Nov 5, 2014

$3 \left(- 2 a\right) \left(- 2 a\right) \left(- 2 a\right) \left(- 2 a\right)$

since four of the same thing are multiplied together,

$= 3 {\left(- 2 a\right)}^{4}$

by breaking $- 2 a$ into smaller factors,

$= 3 {\left[\left(- 1\right) \cdot 2 \cdot a\right]}^{4}$

by distributing the 4th-power,

$= 3 \cdot {\left(- 1\right)}^{4} \cdot {2}^{4} \cdot {a}^{4}$

since ${\left(- 1\right)}^{4} = 1$

$= 3 \cdot {2}^{4} \cdot {a}^{4}$

I hope that this was helpful.