Question

Determine the product: (46.2 × 10–1) ⋅ (5.7 × 10–6). Write your answer in scientific notation.

Answer 1

Your answer for this problem is 2.3511×10^4.
I hope this helps.

Answer 2

`2.6334 \cdot 10^(-5)`

Explanation:

`(46.2 \cdot 10^(-1))(5.7 \cdot 10^(-6))`

To multiply it , first we multiply the numbers.

46.2 times 5.7 is 263.34

Now we multiply the exponents. To multiply exponents we apply exponential property.

`a^m \cdot a^n= a^(m+n)`

When the exponents with same base are in multiplication then we add the exponents

`10^(-1) \cdot 10^(-6)=10^(-7)`

`(46.2 \cdot 10^(-1))(5.7 \cdot 10^(-6))`

`263.34 \cdot 10^(-7)`

Now we write it in scientific notation. Move the decimal point after the first number. So we move decimal point 2 places to the left

`2.6334 \cdot 10^2 \cdot 10^(-7)`

`2.6334 \cdot 10^(-5)`