Final answer:
To evaluate the expressions, perform the calculations using a calculator and express the results in scientific notation, ensuring to apply the correct rules for managing exponents.
Step-by-step explanation:
To evaluate the given expressions, we'll calculate each one using a calculator and then express the result in scientific notation with the appropriate number of significant figures.
(9.09 × 108) ÷ [(6.33 × 109) × (4.066 × 10–7)]
In this expression, we will first perform the multiplication in the denominator, then divide the numerator by the result. We will also subtract the exponents in the denominator and subtract that result from the exponent in the numerator.
9,345 × 34.866 ÷ 0.00665
Here, we will multiply 9,345 by 34.866, then divide by 0.00665. After obtaining the numerical value, we will write it in scientific notation.
Please perform these calculations using a calculator and apply the rules for scientific notation to express your final answers accordingly.
To evaluate the expression 2/5 × 5/9, we can multiply the numerators (2 × 5) and the denominators (5 × 9). This gives us a final numerator of 10 and a final denominator of 45. Therefore, the expression simplifies to 10/45.
We can further simplify 10/45 by dividing both the numerator and denominator by their greatest common divisor, which is 5. Dividing 10 by 5 gives us 2, and dividing 45 by 5 gives us 9.
So, the simplified value of 2/5 × 5/9 is 2/9.