Find the product of 214^5 and 102^3

Answer 1

To find the product of \( 214^5 \) and \( 102^3 \), we can first calculate each power separately, then multiply the results. We can also use a calculator for efficiency.

1. Calculate \( 214^5 \): \[ 214^5 = 214 \times 214 \times 214 \times 214 \times 214 \]

   This equals \( 214^5 = 4,355,751,233,280 \).

2. Calculate \( 102^3 \): \[ 102^3 = 102 \times 102 \times 102 \] This equals \( 102^3 = 1,060,608 \).

3. Now multiply \( 214^5 \) and \( 102^3 \): \[ 214^5 \times 102^3 = 4,355,751,233,280 \times 1,060,608 \]

4. Using a calculator to compute this product, we have: \[ 4,355,751,233,280 \times 1,060,608 = 4,629,104,173,881,600 \]

Thus, the product of \( 214^5 \) and \( 102^3 \) is \( 4,629,104,173,881,600 \).