Question

Simplify (7.78 x 10−11)(5.9 x 10−18). Write the final answer in scientific notation.

A. 4.5902 x 10−28
B. 4.5902 x 10−29
C. 45.902 x 10−28
D. 45.902 x 10−29

Answer 1

When you simplify (7.78 x 10⁻¹¹)(5.9 x 10⁻¹⁸), you multiply the coefficients to get 45.902 and add the exponents to get -29, then round to four significant figures, resulting in an answer of 4.5902 x 10⁻²⁹, which is option B.

Step-by-step explanation:

To simplify the expression (7.78 x 10⁻¹¹)(5.9 x 10⁻¹⁸), you should multiply the decimal numbers and then add the exponents of 10. When multiplying in scientific notation, you multiply the coefficients (the numbers before the exponents) and add the exponents together.

First, multiply the coefficients: 7.78 times 5.9 equals 45.902.

Next, add the exponents: (-11) + (-18) equals -29.

Your final answer in scientific notation is 4.5902 x 10⁻²⁹. It looks like when the coefficients were multiplied, an extra digit appeared, so the final answer needs to be rounded to four significant figures, which gives us 4.590 x 10⁻²⁹. However, when formatted as an answer choice, it would be 4.5902 x 10⁻²⁹, which corresponds to option B.

Answer 2

The answer for this problem is D

Step-by-step explanation:

Well first you need to multiply the numbers 7.78 and 5.9 which will leave you with the number 45.902.

Now usually with powers you just add them together with logically would bring it to times 10 to the negative 29th power

So if I am correct here the answer should be D (45.902 x 10^-29)