High School

Simplify using exponential notation:

\[ 1215 \times 129 \]

a) 156,435
b) 156,375
c) 15,679
d) 165,735

Answer :

Final answer:

To simplify the expression 1215 x 129 using exponential notation, we can rewrite the numbers as powers of the same base and then combine the exponents. The simplified expression is 3^7 x 43, which equals 156,375.

Explanation:

To simplify the expression using exponential notation, we can rewrite 1215 as 3^5 since 3 multiplied by itself 5 times equals 1215. Similarly, we can rewrite 129 as 3^2 × 43. Now we can simplify the expression: (3^5) × (3^2 × 43) = 3^(5 + 2) × 43 = 3^7 × 43. Therefore, the simplified expression is 156,375 (answer choice b).