multiply. write your answer in scientific notation. 0.05·(8×10⁵)

Explanation:

Step1: Multiply non - exponential parts

$0.05\times8 = 0.4$

Step2: Multiply by the exponential part

$0.4\times10^{5}$

Step3: Convert to proper scientific notation

Since $0.4 = 4\times10^{- 1}$, then $0.4\times10^{5}=4\times10^{-1}\times10^{5}$

Step4: Use exponent rule $a^{m}\times a^{n}=a^{m + n}$

$4\times10^{-1}\times10^{5}=4\times10^{-1 + 5}=4\times10^{4}$

Answer:

$4\times10^{4}$