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

Answer:

$2.6334 \cdot 10^{-5}$

Step-by-step 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

$2.6334 \cdot 10^2 \cdot 10^{-7}$

$2.6334 \cdot 10^{-5}$