Simplify the following and leave your answer in exponential form. (Example: write 525^25
2
not 252525 ). Click Here for Help Video
�14�8\frac{x^{14}}{x^{8}}
x
8
x
14
Using the quotient rule of exponents, we subtract the exponents when dividing powers with the same base. So,
14^8 / 14^8 = 14^(8-8) = 14^0.
Any number (except 0) raised to the power of 0 is equal to 1. Therefore,
14^8 / 14^8 = 1.
To simplify the expression �14�8\frac{x^{14}}{x^{8}}, we use the rule of exponents that states a^m / a^n = a^(m-n).
Applying this rule, we have:
��14�8\frac{x^{14}}{x^{8}} = x^(14-8) = x^6
Therefore, the simplified expression in exponential form is x^6.