To divide a fraction by a whole number, you multiply the fraction by the reciprocal of the whole number. The whole number 2 can be written as the fraction $\frac{2}{1}$, and its reciprocal is $\frac{1}{2}$. The problem then becomes $\frac{4}{9} \times \frac{1}{2}$. Multiplying the numerators gives $4 \times 1 = 4$, and multiplying the denominators gives $9 \times 2 = 18$. The result is $\frac{4}{18}$, which must be simplified. The greatest common divisor of 4 and 18 is 2, so dividing both by 2 gives the final answer $\frac{2}{9}$.

Approximating their values gives: 7/12 ≈ 0.583, 5/9 ≈ 0.556, 6/13 ≈ 0.461, 3/7 ≈ 0.428, 4/11 ≈ 0.363. Arranged in descending order, the largest is 7/12, and the second largest is 5/9.

Writing a number in proper scientific notation entails moving the decimal point firmly until just one non-zero digit remains left of it. Shifting rightward six spots forms 6.723 * 10^-6.

The cube root operation finds a number that multiplies by itself three times to get the original number. Since 4 * 4 * 4 = 64, the cube root is 4.

The power of 1/2 corresponds to the square root of the number. The square root of 25 is 5, as 5 multiplied by itself equals 25.

Multiplying the exponent 5 by the outer exponent 3 gives 15. The base remains 4, so the final simplified answer is 4^15.

Since 144 is a perfect square, its square root is an integer. 12 multiplied by 12 gives 144, making 12 the correct answer.

Regardless of how large the base is, any non-zero number raised to the zero power equals 1. Therefore, 100^0 evaluates to 1.

Find the highest perfect square factor of 72, which is 36. Since 72 = 36 * 2, we take the square root of 36 to get 6 outside, leaving 6*sqrt(2).

Combine the positive numbers (11.71 + 1.78 = 13.49) and combine the negative numbers (0.86 + 9.20 = 10.06). Evaluating 13.49 - 10.06 results in 3.43.