Question

Rewrite the given equation so there is a single power of 5,000 on each side. then, set the exponents equal to each other.

Answer 1

Second part of this question is no solution

Answer 2

Answer:

Option a is correct.

$2 = 1$

Step-by-step explanation:

Using exponent rules:

$\frac{1}{a^n} = a^{-n}$

$a^n \cdot a^m = a^{n+m}$

Given the equation:

$(\frac{1}{5000})^{2z} \cdot (5000)^{2z+2} = 5000$

then;

$(5000)^{-2z} \cdot (5000)^{2z+2} = 5000$

Apply the exponent rules:

$(5000)^{-2z+2z+2} = 5000$

then;

$(5000)^{-2z+2z+2} = (5000)^1$

On comparing both sides we have;

$-2z+2z+2 = 1$

Combine like terms;

$2 = 1$

Therefore, the equation shows the result is, 2 = 1