A number to the fifth power means to multiply that number 5 times by itself. In this case:
[tex]4^5=4\cdot4\cdot4\cdot4\cdot4[/tex]And now we can solve:
[tex]4\cdot4\cdot4\cdot4\cdot4=16\cdot16\cdot4=16\cdot64[/tex]Now we can factor out 2 of each one:
[tex]16\cdot64=2\cdot2(8\cdot32)[/tex]Then again:
[tex]2(8\cdot32)=2\cdot2(2\cdot2(4\cdot16))[/tex]Now we can solve the paretheses:
[tex]2(2(4\cdot16)=2\cdot2(2\cdot2\cdot64)[/tex]Finally, this are all multiplications of a number by 2, the we can solve it easily:
[tex]2\cdot2(2\cdot2\cdot64)=2\cdot2(2\cdot128)=2\cdot2\cdot256=2\cdot512=1024[/tex]The amount of miles driven in 3 months is 1024miles
