Simplifying the Exponential expressions Problems and solutions

You have learnt the concept of exponential expressions. In mathematics, the expressions with exponents are involved in problems. So, it is very important to learn how to simplify the exponential expressions mathematically by using exponent rules. Here is the list of exponential expressions problems with solutions for your understanding.

$(1) \,\,\,$ $\dfrac{5^{\displaystyle x} \times 7-5^{\displaystyle x}}{5^{{\displaystyle x}+2}-5^{{\displaystyle x}+1}}$