Question

Solve for x, 1/1000 =10 to the power of x

Answer 1

≡QUESTION≡

Solve for x

$\frac{1}{1000} = 10^{x}$

                                                       

║⊕ANSWER⊕║

GIVEN

$\frac{1}{1000} = 10^{x}$

The no: of zeroes present in 1000 = 3

$\frac{1}{1000} = 10^{-3}$

( Negative sign arises due to reciprocal)

∴ x = 10⁻³

                                                       

Answer 2

Answer:

Given that

1/1000 = $10^{x}$

to find x.

1/1000 can be written as :-

                                              $1^{3}$/$10^{3}$

                                         =  $(1/10)^{3}$

                                         =  1/$10^{3}$

this also have a special way to write:-

                                                            $10^{-3}$

so

according to the question,

                                             $10^{-3}$ = $10^{x}$

comparing both sides, we get that :-

                                                           x = -3  

hence the value of x is -3.                                          

Step-by-step explanation: