Question

Use the negative exponent rule to simplify. 10^5 x 10^-10. Use only positive exponents for expression.

Answer 1

When multiplicating both terms with the same base, you can sum the exponents.

`\begin{gathered} 10^5\cdot10^(-10) \\ =10^(5-10) \\ =10^(-5) \end{gathered}`

Also, according to the negative exponent rule:

`a^(-b)=(1)/(a^b)`

So,

`10^(-5)=(1)/(10^5)`

Answer:

`(1)/(10^5)`