Answer:
[tex]5^2\times7\times13[/tex].
[tex]3^2\times13[/tex].
Step-by-step explanation:
Prime number: The number which have only two factors 1 and itself is called prime number .
A.[tex]5^2\times7\times13[/tex]
The given number is the product of 5,5 ,7 and 13.
5 is a prime number because it has only two factors 1 and 5.
7 is a prime number because it has only two factors 1 and 7.
13 is a prime number because it has only two factors 1 and 13.
Hence, the number shows as a product of prime numbers in exponential form.
B.[tex]7^2\times24[/tex]
The number is the product of [tex]7^2 and 24[/tex].
7 is a prime number because it has only two factors 1 and itself.
24 is not prime number because it has more than two factors.
Hence, the number does not shows as product of prime numbers in exponential form.
C.[tex]3^2\times13[/tex]
The number is the product of [tex]3^2 and 13[/tex]
3 is a prime number because it has two factors 1 and 3.
13 is a prime number because it has two factors 1 and 13.
Hence, the number shows as the product of prime number in exponential form.
D.[tex]4\times5^3[/tex]
The number is the product of 4 and [tex]5^3[/tex]
5 is a prime number because it has two factors 1 and 5.
4 is not a prime number because it has more than two factors.
Hence, the number does not shows as the product of prime numbers in exponential form.
