Question

The decimal expansion of the rational number 1323/6∧3 × 35∧2 will terminate after

Answer 1

Answer:

1323÷6×6×6×35×35

it has not terminating decimal expansion because the factors of denominator is not in the form of 2^m*5^n.

it has 3 and 7 as the factor

Answer 2

The decimal expansion of the rational number will terminate after 3 decimal numbers(125).

Step-by-step explanation:

Given expression:  1323÷$6^{3}$×$35^{2}$

To find

We need to find the solution and its decimal expansion.

Solution:

Solving the above question, and simplifying the terms, we get:

Taking a cube of 6 and a square of 35,

1323÷216×1225

= 1620675÷216

Solving the simplified equation, we get:

=7503.125

Result:

Thus, the decimal expansion of the rational number will terminate after 3 decimal numbers(125).

(#SPJ3)