It depends upon the operation......if multiplying, we "keep" the base and add the exponents. If dividing, we "keep" the base and subtract the exponents. Thus.....
2^3 * 2^5 = 2^(2 + 5) = 2^7
AND
2^3 / 2^5 = 2^(2 - 5) = 2^-3
We don't have any "rules" for addition and subtraction....thus....
a^3 + a^5
And
a^7 - a^4
Remain, as is ..... {unless we wanted to "factor" these}
It depends upon the operation......if multiplying, we "keep" the base and add the exponents. If dividing, we "keep" the base and subtract the exponents. Thus.....
2^3 * 2^5 = 2^(2 + 5) = 2^7
AND
2^3 / 2^5 = 2^(2 - 5) = 2^-3
We don't have any "rules" for addition and subtraction....thus....
a^3 + a^5
And
a^7 - a^4
Remain, as is ..... {unless we wanted to "factor" these}