(5.7x10^2)+(2.8x10^5)^2
(5.7x10^2)+(2.8x10^5)^2 in standrad form
strange question
(5.7x10^2)+(2.8x10^5)^2
= 570 + 7.84 x 10^10
= 570 + 7.84x10^10 = 570 + 78'400'000'000
= 78'400'000'570
If you change this to scientific form the 570 will become insignificant and
I would simply leave it as 7.84 x 10^10
To simplify the expression, let's break it down step by step:
Step 1: Begin by evaluating the exponent in the parentheses.
(2.8x10^5)^2 = (2.8)^2 x (10^5)^2 = 7.84 x 10^10
Step 2: Now, substitute the value from step 1 back into the original expression.
(5.7x10^2) + (2.8x10^5)^2 = 5.7x10^2 + 7.84x10^10
Step 3: We can't directly add the values with different exponents. We need to convert them to the same exponent by shifting the decimal point.
5.7x10^2 = 570.0x10^0 (moving the decimal point to the right by 2 places)
7.84x10^10 = 0.784x10^11 (moving the decimal point to the left by 2 places)
Step 4: Now that both exponents are the same, we can add the values together.
570.0x10^0 + 0.784x10^11 = 570.0 + 0.784x10^11
Step 5: Since the exponents are the same, we can add the decimal numbers.
570.0 + 0.784 = 570.784
Step 6: Finally, write the answer in scientific notation.
570.784 = 5.70784x10^2
Therefore, (5.7x10^2) + (2.8x10^5)^2 = 5.70784x10^2.