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

option B

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)`