Answer:

3.375e9

Step-by-step explanation:

N=15^3×10^6

So,

N=375e9

I think it is right.

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Answer:

[tex]\underbrace{Answer}[/tex]

To express N as a product of its prime factors in index form, we can first find the prime factorization of N, and then write it in the form of prime factors with their respective exponents.

[tex]N \: = \: {15}^{3} \times {10}^{6} [/tex]

First, let's factor each term separately:

[tex]15 = 3 \times 5 \\ 10 = 2 \times 5[/tex]

Now, we can rewrite N:

[tex]N = {(3 \times 5)}^{3} \times {(2 \times 5)}^{6} [/tex]

Next, expand the exponents:

[tex]N = ( {3}^{3} \times {5}^{3} )( {2}^{6} \times {5}^{6} )[/tex]

Now, express it in index form with prime factors and their respective exponents:

[tex]N = {3}^{3} \times {2}^{6} \times {5}^{9} [/tex]

So, in index form, N is equal to :-

[tex] = > {3}^{3} \times {2}^{6} \times {5}^{9} [/tex]

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