Question

multiply. write your answer in scientific notation.
\\((2 \times 10^{-5})(4 \times 10^{9})\\)
\\(\square \times 10^{\square}\\)

Explanation:

Step1: Multiply the coefficients

Multiply 2 and 4.
$2\times4 = 8$

Step2: Multiply the powers of 10

Use the rule $a^m\times a^n=a^{m + n}$. So $10^{-5}\times10^{9}=10^{-5 + 9}=10^{4}$

Step3: Combine the results

Combine the coefficient and the power of 10. So we have $8\times10^{4}$

Answer:

$8\times 10^{4}$