Answer:
[tex]48m^{3}[/tex] is an equivalent expression to given expression [tex](3m)(4m)^2[/tex]
Step-by-step explanation:
Given expression [tex](3m)(4m)^2[/tex]
We have to find an equivalent fraction to the given expression [tex](3m)(4m)^2[/tex]
Consider the given expression [tex](3m)(4m)^2[/tex]
Using property of exponent [tex](ab)^x=a^xb^x[/tex] we have,
[tex](3m)(4m)^2=(3m)(4^2m^2)[/tex]
Simplifying, we get,
[tex](3m)(4m)^2=(3m)(16m^2)[/tex]
Using property of exponent [tex](a^xa^y)=a^{x+y}[/tex] , we have,
[tex](3m)(4m)^2=3\cdot 16m^{2+1}[/tex]
[tex](3m)(4m)^2=48m^{3}[/tex]
Thus, [tex]48m^{3}[/tex] is an equivalent expression to given expression [tex](3m)(4m)^2[/tex]
