MishikaM707175 MishikaM707175

30-10-2022
Mathematics

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is [tex] \frac{3to \: the \: power \: of \: 100}{3to \: the \: power \: of \: 99} [/tex]greater than,less than, or equal to 3

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ChristiyanaW82936 ChristiyanaW82936

30-10-2022

Remember the laws of exponents:

[tex]\frac{a^n}{a^m}=a^{n-m}[/tex]

Then:

[tex]\begin{gathered} \frac{3^{100}}{3^{99}}=3^{100-99} \\ =3^1 \\ =3 \end{gathered}[/tex]

Therefore:

[tex]\frac{3^{100}}{3^{99}}=3[/tex]

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