Question

The standard form for $0.000064$ is

• A. $64\times {10}^4$
• B. $64\times {10}^{-4}$
• C. $6.4\times {10}^5$
• D. $6.4\times {10}^{-5}$

Answer 1

The correct option is D

$6.4\times {10}^{-5}$

Any number can be expressed as decimal numbers between 1 and 10 multiplied by a power of 10. This form of representation is termed the standard form.

$$\begin{gathered} 0.000064=\frac{64}{100000} \\ 0.000064=\frac{64}{{10}^5} \end{gathered}$$

By laws of exponent $a^{-m}=\frac{1}{a^m}$

$0.000064=6.4\times {10}^{-5}$

Hence, the standard form for $0.000064$ is $6.4\times {10}^{-5}$.