Question

Solve for x: 5^x/5^14=1/5^5

Answer 1

Answer:

x = 9

Step-by-step explanation:

Law of exponents:

        $\sf \dfrac{a^m}{a^n}=a^{m-n}\\\\\\ \dfrac{1}{a^m}=a^{-m}$

$\sf \dfrac{5^x}{5^{14}}=\dfrac{1}{5^5}\\\\5^{x -14} = 5^{-5}$

Base are same. Compare the exponents.

 x - 14 = -5

        x = -5 + 14    {Addition property of equality}

        x = 9

Answer 2

Answer:

$\frac{1 \\ }{3125}$