Question

Multiply.

(3.5×10−5)(3×10−10)

Express your answer in scientific notation.

A. 1.05×10−15

B.​ 1.05×10−14 ​

​C. 1.05×10−13 ​

D.​​ 1.05×1015 ​

Answer 1

I think it will be B.

Answer 2

Answer:

option B

Step-by-step explanation:

Multiply.

$(3.5 \cdot 10^{-5})(3 \cdot 10^{-10})$

To multiply it we apply exponential property

First we multiply the number 3.5  and 3

3.5 times 3 is 10.5

Now we apply exponential property to multiply the exponents

$a^m \cdot a^n = a^{m+n}$

$10^{-5} \cdot 10^{-10}= a^{-5-10}=10^{-15}$

$(3.5 \cdot 10^{-5})(3 \cdot 10^{-10})$

$10.5 \cdot 10^{-15}$

To get the expression in scientific notation we move the decimal point 1 units to the left

$1.05 \cdot 10^{-14}$