Question

10^4 divided by 10^6 in expanded form, then find out what the answer is with a single power.

Answer 1

The given expression is:

`(10^4)/(10^6)`

Exapanding the above expression,

`(10*10*10*10)/(10*10*10*10*10*10)`

(The number of 10s are the same as the power of 10).

Now, cancel out the common terms in the numerator and the denominator of the above expression.

`(1)/(10*10)`

The denominator of the above expression can now be expressed as the power of 10 as,

`(1)/(10^2)`

According to the law of exponents,

`(1)/(x_(^(^m)))=x^(-m)`

Hence, we can write

`(1)/(10^2)=10^(-2)`

Therefore, 10^4 divided by 10^6 can be expressed as a term with a single power as,

`10^(-2)`