Final answer:
To subtract numbers in scientific notation, we first convert them to have the same exponent, then perform the subtraction. Thus, 2.9 x 10¹¹ - 3.7 x 10¹³ becomes -3.41 x 10¹³.
Step-by-step explanation:
The question asks to subtract two numbers expressed in scientific notation: 2.9 x 10¹¹ and 3.7 x 10¹³.
To perform the subtraction, we need to express both numbers with the same exponent:
- Convert 2.9 x 10¹¹ to 0.29 x 10¹³ by moving the decimal one place to the left and increasing the exponent from 11 to 13.
- Now subtract the two numbers: 0.29 x 10¹³ - 3.7 x 10¹³ = -3.41 x 10¹³.
This is the final result in scientific notation.