quantity 7 times 10 cubed end quantity times quantity 5.4 times 10 to the fourth power end quantity all divided by quantity 9 times 10 squared

Question

a) 4.2 x 1010

b) 3.4 x 1010

c) 4.2 x 105

d) 3.4 x 105

Answer 1

To solve this problem, we need to first simplify the expression:

(7 * 10^3) * (5.4 * 10^4) / (9 * 10^2)

Simplifying the numerator:

(7 * 10^3) * (5.4 * 10^4) = 37.8 * 10^7

Since 37.8 is not in scientific notation, we convert it to scientific notation by moving the decimal point to the right until there is one non-zero digit to the left of the decimal point:

37.8 * 10^7 = 3.78 * 10^8

Now the expression becomes:

(3.78 * 10^8) / (9 * 10^2)

To divide these terms, subtract the exponents:

10^8 / 10^2 = 10^(8-2) = 10^6

The final answer is:

3.78 * 10^6

Therefore, the answer is:

c) 4.2 x 10^105