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Solve: $(\frac{1}{5000})^{-2z} * 5000^{-1z^2} = 5000$. What is the value of z? a. -1 b. 0 c. 1 d. No solution

Solve: $(\frac{1}{5000})^{-2z} * 5000^{-1z^2} = 5000$. What is the value of z? a. -1 b. 0 c. 1 d. No solution
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Solve: $(\frac{1}{5000})^{-2z} * 5000^{-1z^2} = 5000$. What is the value of z? a. -1 b. 0 c. 1 d. No solution

asked
User Patrik Nordwall
by
7.7k points

2 Answers

4 votes

Answer:

No Solution (D)

Explanation:

Correct on Edge 2023

answered
User Bronzehedwick
by
8.4k points
2 votes

Answer:
Hi,

C: 1

Explanation:


((1)/(5000))^(-2z) * 5000^(-1z^2) = 5000\\\\5000^(2z)*5000^(-z^2)=5000\\\\5000^(2z-z^2-1)=1\\\\2z-z^2-1=0\\\\z^2-2z+1=0\\(z-1)^2=0\\\\z=1\\Answer\ C\\

answered
User Mirco Bellagamba
by
7.9k points
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