Question

What number is the product of the expression below?

(2.35 x 105)(5.92 x 107)

Question 2 options:

1.3912 × 10 10


1.3912 × 10 11


1.3912 × 10 12


1.3912 × 10 13

Answer 1

$(2.35\times10^5)(5.92\times10^7)=(2.35\cdot5.92)(10^5\cdot10^7)\\\\=13.912\cdot10^{5+7}=13.912\cdot10^{12}=1.3912\cdot10\cdot10^{12}\\\\=\boxed{1.3912\cdot10^{13}}$

Answer 2

Answer: $1.3912\times10^{13}$

Step-by-step explanation:

The given expression : $(2.35 \times 10^5)(5.92 \times 10^7)$

First combine the like terms (i.e. exponents together and rest of numbers together) , we get

$2.35 \times 5.92 \times10^5 \times 10^7$

Using property , $a^m\times a^n=a^{m+n}$ , the above repression will become

$13.912 \times10^{5+7}\\\\=13.912\times10^12$

Also, in scientific form , the first number should be in decimal form where decimal should be after first digit .

Then, $13.912\times10^{12}$

$\\\\=1.3912\times10\times10^{12}\\\\= 1.3912\times10^{1+12}\\\\=1.3912\times10^{13}$

Hence, the final answer = $1.3912\times10^{13}$