Question

Heyyyy could u help me find the value of 3^-3 × 10^-3 ? tyyyyy ​

Answer 1

Answer:
`(1)/(27,000)` ;

Explanation:

Note the following properties of exponents:

`a^(-b) = (1)/(a^b)` ; {a≠ 0} .

____________________

`3^-^3 =(1)/(3*3*3)=(1)/(27)` ; and:

`10^(-3) = (1)/(10^(3)) = (1)/(10*10*10) = (1)/(1000)` ;

So:
`(1)/(27) *(1)/(1000) = (1)/(27*1000)` =
`(1)/(27,000)` → which is the answer!

Hope you find this helpful! Best wishes!