sandhyaprajod84 sandhyaprajod84

24-06-2022
Mathematics

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[tex]10 ^{k - 2} = 100[/tex]
find the value of k

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fieryanswererft fieryanswererft

24-06-2022

Answer:

k = 4

Explanation:

[tex]\sf 10^{k-2}=100[/tex]

make bases similar

[tex]\sf 10^{k-2}=10^2[/tex]

cancel out the bases

[tex]\sf k-2=2[/tex]

add '2' on both sides

[tex]\sf k-2+2=2+ 2[/tex]

simplify the following

[tex]\sf k =4[/tex]

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