Question

Express 343/1000 in power notation.

Answer 1

GIVEN :

Express $\frac{343}{1000}$ in power notation.

TO EXPRESS :

The fraction $\frac{343}{1000}$ in power notation.

SOLUTION :

Given fraction is $\frac{343}{1000}$

To Express $\frac{343}{1000}$ in power notation :

$\frac{343}{1000}$

The numerator 343 can be written as the cube of 7 and the denominator 1000 can be written as the cube of 10

$=\frac{7^3}{10^3}$

By using the property of exponents :

$\frac{a^m}{b^m}=(\frac{a}{b})^m$

$=(\frac{7}{10})^3$

$\frac{343}{1000}=(\frac{7}{10})^3$

The given fraction  $\frac{343}{1000}$ expressed in power notation is

$(\frac{7}{10})^3$