Solve 4^(-3v-2)=4^(-v)

Evaluate

4^{- 3 v - 2} = 4^{- v}

Since the bases are the same,set the exponents equal

- 3 v - 2 = - v

Move the variable to the left side

- 3 v - 2 + v = 0

Add the terms

More Steps

- 2 v - 2 = 0

Move the constant to the right side

- 2 v = 0 + 2

Removing 0 doesn't change the value,so remove it from the expression

- 2 v = 2

Change the signs on both sides of the equation

2 v = - 2

Divide both sides

\frac{2 v}{2} = \frac{- 2}{2}

Divide the numbers

v = \frac{- 2}{2}

Solution

More Steps

v = - 1

Solve the equation