Question

(3*10^2)^3 * (2*10^-7)

Answer 1

Ответ:

5,4

Объяснение:

(3*10^2)^3 * (2*10^-7)=

=27*10^6 *2*10^-7=54*10^-1=54*1/10=

=5,4.

Answer 2

To simplify the expression (3 * 10^2)^3 * (2 * 10^-7), we can follow the order of operations (parentheses, exponents, multiplication, and division) to evaluate it step by step.

Let's start with the expression inside the parentheses:

3 * 10^2 = 3 * 100 = 300

Now, let's evaluate the expression outside the parentheses:

(300)^3 * (2 * 10^-7)

To simplify this further, we can cube the value inside the parentheses:

300^3 = 300 * 300 * 300 = 27,000,000

Next, let's simplify the expression (2 * 10^-7):

2 * 10^-7 = 2 * (1/10^7) = 2/10^7 = 2/10,000,000 = 0.2 * 10^-6

Now, we can multiply the two simplified expressions:

27,000,000 * 0.2 * 10^-6 = 5,400,000 * 10^-6 = 5.4 * 10^6 * 10^-6

To multiply numbers with the same base (10 in this case), we add the exponents:

5.4 * 10^6 * 10^-6 = 5.4 * (10^6 * 10^-6) = 5.4 * 10^(6 + (-6)) = 5.4 * 10^0 = 5.4

Therefore, (3 * 10^2)^3 * (2 * 10^-7) simplifies to 5.4.