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find the quotient. write your answer in scientific notation. $(5.8 \\ti…

Question

find the quotient. write your answer in scientific notation.
$(5.8 \times 10^{-6}) \div (2 \times 10^{-3}) = \square$

Explanation:

Step1: Divide the coefficients

Divide 5.8 by 2.
$\frac{5.8}{2} = 2.9$

Step2: Divide the powers of 10

Use the rule of exponents $a^m \div a^n = a^{m - n}$. So, $10^{-6} \div 10^{-3}=10^{-6 - (-3)} = 10^{-3}$

Step3: Combine the results

Multiply the results from Step 1 and Step 2.
$2.9\times10^{-3}$

Answer:

$2.9\times 10^{-3}$