Answer:
[tex]a * b = 210^4[/tex]
Step-by-step explanation:
Given
[tex]a,b>0[/tex]
[tex]gcd(a,b) = 210[/tex]
[tex]lcm(a,b) = 210^3[/tex]
Required
The product of a and b --- missing from the question
To do this, we make use of the following formula:
[tex]a * b = gcd(a, b) * lcm(a, b)[/tex]
So, we have:
[tex]a * b = 210 * 210^3[/tex]
Using the product law of indices, we have:
[tex]a * b = 210^4[/tex]
This means that the product of a and b gives [tex]210^4[/tex]
