1.95^6 x 10^6 divided by 2.56 x 10^-2

Question

step by step

Answer 1

To divide the given numbers step by step, we can follow these steps:

1.95^6 x 10^6 / (2.56 x 10^-2)

First, let's simplify the power of 10 in the denominator:
10^-2 = 1/(10^2) = 1/100

Now, let's convert the division into multiplication by multiplying the numerator by the reciprocal of the denominator:
1.95^6 x 10^6 x 100 / (2.56)

Next, calculate 1.95^6:
1.95^6 = 44.109831

Applying this value:
44.109831 x 10^6 x 100 / 2.56

Now, multiply the exponent of 10 by the 100:
44.109831 x 10^(6+2) / 2.56

Since 10^8 is 100,000,000, rewrite the expression:
44.109831 x 100,000,000 / 2.56

Simplify the expression:
4,410,983,100 / 2.56

Now, divide the numbers:
4,410,983,100 ÷ 2.56 = 1,721,087,421.875

Therefore, 1.95^6 x 10^6 / 2.56 x 10^-2 = 1,721,087,421.875