Question

F) write in exponential form: lg1000 0.01 = -2

Answer 1

Answer: -2/3

Explanation:

`\displaystyle\\lg_(1000)0.01=\\\\lg_(10^3)10^(-2)=\\\\(1)/(3) lg_(10)10^(-2)=\\\\(1)/(3)(-2)lg_(10)10=\\\\ -(1*2)/(3) (1)=\\\\-(2)/(3)`

Answer 2

0.01^-2 = 10000

Explanation:

we write it using the rules of indices as shown above