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which of the following is equivalent to the expression below? 5^8.13*PHOTO*

Which Of The Following Is Equivalent To The Expression Below 5813PHOTO class=

Sagot :

Step 1

Given;

Step 2

[tex]\begin{gathered} 5^{8.13}=5^{8+0.13} \\ =5^{8+\frac{1}{10}+\frac{3}{100}} \\ =5^8\times5^{\frac{1}{10}}\times5^{\frac{3}{100}} \end{gathered}[/tex]

Answer; Thus using the law of indices, we have-

[tex]\begin{equation*} 5^8\times5^{\frac{1}{10}}\times5^{\frac{3}{100}} \end{equation*}[/tex]

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