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2 years ago

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

Mathematics

2 answers:

pav-90 [236]2 years ago

6 0

Answer:

x = 9

Step-by-step explanation:

<h2>Law of exponents:</h2>

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

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

Base are same. Compare the exponents.

x - 14 = -5

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

x = 9

mariarad [96]2 years ago

4 0

Answer:

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

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