# How do you simplify (3.2 \times 10^6) \cdot (8.7 \times 10^{11}) ?

Nov 14, 2014

$\left(3.2 \times {10}^{6}\right) \cdot \left(8.7 \times {10}^{11}\right)$

by grouping the digit terms together and the exponential terms together,

$= \left(3.2 \cdot 8.7\right) \times \left({10}^{6} \cdot {10}^{11}\right)$

by multiplying out,

$= 27.84 \times {10}^{17}$

by rewriting it in scientific notation,

$= 2.784 \times {10}^{18}$

I hope that this was helpful.