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

Sagot :

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

[tex]\begin{gathered} 10^5\cdot10^{-10} \\ =10^{5-10} \\ =10^{-5} \end{gathered}[/tex]

Also, according to the negative exponent rule:

[tex]a^{-b}=\frac{1}{a^b}[/tex]

So,

[tex]10^{-5}=\frac{1}{10^5}[/tex]

Answer:

[tex]\frac{1}{10^5}[/tex]