Use the Binomial Theorem to Approximate $1.82 ^ { 8 }$

Multiple Choice

Use the Binomial Theorem to approximate $1.82 ^ { 8 }$ rounded to three decimal places. For example: $( 1.02 ) ^ { 10 } = ( 1 + 0.02 ) ^ { 10 } \approx 1 + 10 ( 0.02 ) + 45 ( 0.02 ) ^ { 2 }$ .

A) $89.235$
B) $120.385$
C) $92.066$
D) $52.31$
E) $66.145$