Question

write $4.628 \times 10^{-2}$ in standard notation.

Explanation:

Step1: Recall negative exponent rule

A negative exponent \(10^{-n}\) means we divide by \(10^n\), or move the decimal point \(n\) places to the left.

Step2: Apply to \(4.628\times10^{-2}\)

For \(10^{-2}\), we move the decimal in \(4.628\) two places to the left.
Starting with \(4.628\), moving left once: \(0.4628\), moving left twice: \(0.04628\).

Answer:

\(0.04628\)