Question

HELP PLEASE!! 100 POINTS!!

Answer 1

Answer:

x=2

Step-by-step explanation:

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Answer 2

Answer:

$x=2$

Step-by-step explanation:

We are given:

$\displaystyle \frac{w^{-x+4}}{w^{-3}}=w^{2x+1}$

First, by the quotient property:

$w^{(-x+4)-(-3)}=w^{2x+1}$

Since they both have the same base, their exponents must be equivalent:

$(-x+4)-(-3)=2x+1$

Solve for x. Simplify:

$-x+7=2x+1$

Therefore:

$3x=6\Rightarrow x=2$