10 ^(k - 2) = 100 find the value of k​

Question

`10 ^(k - 2) = 100`
find the value of k​

Answer 1

k = 4

Step-by-step explanation:

`\sf 10^(k-2)=100`

make bases similar

`\sf 10^(k-2)=10^2`

cancel out the bases

`\sf k-2=2`

add '2' on both sides

`\sf k-2+2=2+ 2`

simplify the following

`\sf k =4`