Answer :
When multiplying variables , the rule is: if the bases are the same,
Keep the base and ADD the powers.
r^2 * r^1 * r^5
Notice that the r with no power written is an assumed power of 1.
r^8 is the answer
Keep the base and ADD the powers.
r^2 * r^1 * r^5
Notice that the r with no power written is an assumed power of 1.
r^8 is the answer
Answer: The required answer is [tex]r^8.[/tex]
Step-by-step explanation: We are given to multiply of divide as indicated in the following expression :
[tex]E=r^2.r.r^5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
Here, the indicated operation is multiplication and we will be using the following property of exponents :
[tex]a^x.a^y=a^{x+y}.[/tex]
So, from (i), we get
[tex]E\\\\=r^2.r.r^5\\\\=r^{2+1+5}\\\\=r^8.[/tex]
Thus, the required answer is [tex]r^8.[/tex]