Answer to Question #181596 in Algebra for midlelaeast

Question

Write the following numbers at the product of its prime factors in exponential form.

1.190   2.900   3.1323

Answer 1

1.

$$190=2\cdot95=2\cdot5\cdot19$$

$$190=2^1\cdot5^1\cdot19^1$$

2.

$$900=2\cdot450=2^2\cdot225=2^2\cdot3\cdot75$$

$$=2^2\cdot3^2\cdot25=2^2\cdot3^2\cdot5^2$$

$$900=2^2\cdot3^2\cdot5^2$$

3.

$$1323=3\cdot441=3^2\cdot147=3^3\cdot49$$

$$=3^3\cdot7^2$$

$$1323=3^3\cdot7^2$$