Question

Can anyone solve this? Thanks

Answer 1

Answer:

Expression will be 5$N^{2}$ = $3^{2}$×$5^{5}$×$x^{6}$

Step-by-step explanation:

As given in the question a number N is expressed as a product of its prime factors in index form is N = 3×$5^{2}$×$x^{3}$

Now we have to express 5$N^{2}$ as a product of prime factors in index form.

For this we write the equation N×N= (3×$5^{2}$×$x^{3}$)×((3×$5^{2}$×$x^{3}$)

$N^{2}$=3×3×$5^{2}$×$5^{2}$×$x^{3}$×$x^{3}$

$xN{2}$ = $3^{2}$×$5^{4}$×$x^{6}$

Then 5$N^{2}$ = 5×$3^{2}$×$5^{4}$×$x^{6}$

5$N^{2}$ = $3^{2}$×$5^{5}$×$x^{6}$