Respuesta :
Answer:
[tex]\large\boxed{(4^3)^5=4^{15}}[/tex]
Step-by-step explanation:
[tex]\text{Use}\ (a^n)^m=a^{nm}\\\\(4^3)^5=4^{(3)(5)}=4^{15}[/tex]
Step-by-step explanation: Here we have the number (4^3)^5.
We can use the relationship: [tex](x^{a} )^{b} = x^{a*b}[/tex]
so our number can be written as: [tex](4^{3}) ^{5} = 4^{3*5} = 4^{15}[/tex].
But you can simplify it further!
we know that [tex]4 = 2^{2}[/tex], then [tex]4^{15} = (2^{2}) ^{15} = 2^{2*15} = 2^{30}[/tex]