Answer:
10^32.
Explanation:
To evaluate the expression (7.5 * 10^31) + (8.64 * 10^31) in scientific notation, you need to add the two numbers while ensuring that they have the same exponent. Here's the step-by-step explanation:
Step 1: Add the numbers without altering the exponents:
(7.5 * 10^31) + (8.64 * 10^31)
Step 2: Add the coefficients (the numbers in front of 10^31):
7.5 + 8.64 = 16.14
Step 3: Keep the common exponent (10^31):
16.14 * 10^31
Now, express the result in scientific notation, which means ensuring that the coefficient is between 1 and 10:
Step 4: To do this, you can rewrite 16.14 as 1.614 * 10. We've moved the decimal point one place to the left and adjusted the exponent accordingly:
1.614 * 10 * 10^31
Step 5: Multiply the powers of 10:
1.614 * 10^(31+1)
Step 6: Add the exponents:
1.614 * 10^32
So, the result of (7.5 * 10^31) + (8.64 * 10^31) in scientific notation is approximately 1.614 * 10^32.