Final answer:
To calculate the product of (8.5×10⁶) × (3.4×10⁶), multiply the coefficients to get 28.9 and then add the exponents of power of 10 to get 10¹², resulting in a final answer of 28.9×10¹² in standard index form.
Step-by-step explanation:
To calculate the product of (8.5×10⁶) × (3.4×10⁶) and express the answer in standard index form, follow these steps:
- Multiply the numerical coeffcients together: 8.5 × 3.4.
- Add the exponents of 10 since the bases are the same in both numbers: 10⁶ × 10⁶ becomes 10^(6+6) or 10¹².
The multiplication of the coefficients (step 1) gives us 28.9, and the addition of exponents (step 2) results in 10¹². Thus, the product in standard index form is 28.9×10¹².
icients together: 8.5 × 3.4.
Add the exponents of 10 since the bases are the same in both numbers: 10⁶ × 10⁶ becomes 10^(6+6) or 10¹².