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

Question

asked Apr 13, 2019 232k views

2 Answers

Leena Patel · Answer 1 · 2019-04-19T17:24:19+0000

Answer:

$2.6334 \cdot 10^(-5)$

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

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

$2.6334 \cdot 10^(-5)$