To solve the above expression, we can use the rules of exponents to simplify the multiplication and division:
5 × 10⁻³ × 273 × 1.43 / 3 × 10² × 8.29 × 10
First, multiply the numbers (5, 273, 1.43, 3, 8.29):
5 × 273 × 1.43 / 3 × 8.29
Convert the numbers to scientific notation:
5 × 10⁰ × 2.73 × 10² × 1.43 / 3 × 10⁰ × 8.29 × 10⁰
Now, multiply and divide the numbers with the same bases (10):
(5 × 2.73 × 1.43) / 3 × 8.29
Calculate the numerator:
5 × 2.73 × 1.43 ≈ 19.5745
Substitute the numerator into the expression:
19.5745 / 3 × 8.29
Now, multiply the remaining numbers:
19.5745 / 3 ≈ 6.52483
6.52483 × 8.29 ≈ 54.094
Therefore, the answer is approximately 54.094.
To solve the above expression, we can use the rules of exponents to simplify the multiplication and division:
5 × 10⁻³ × 273 × 1.43 / 3 × 10² × 8.29 × 10
First, multiply the numbers (5, 273, 1.43, 3, 8.29):
5 × 273 × 1.43 / 3 × 8.29
Convert the numbers to scientific notation:
5 × 10⁰ × 2.73 × 10² × 1.43 / 3 × 10⁰ × 8.29 × 10⁰
Now, multiply and divide the numbers with the same bases (10):
(5 × 2.73 × 1.43) / 3 × 8.29
Calculate the numerator:
5 × 2.73 × 1.43 ≈ 19.5745
Substitute the numerator into the expression:
19.5745 / 3 × 8.29
Now, multiply the remaining numbers:
19.5745 / 3 ≈ 6.52483
6.52483 × 8.29 ≈ 54.094
Therefore, the answer is approximately 54.094.