Basic Math Examples

$4^{n + 1} = \frac{1}{16}$

Step 1

Raise $16$ to the power of $1$ .

$4^{n + 1} = \frac{1}{16^{1}}$

Step 2

Move $16^{1}$ to the numerator using the negative exponent rule $\frac{1}{b^{n}} = b^{- n}$ .

$4^{n + 1} = 16^{- 1}$

Step 3

Create equivalent expressions in the equation that all have equal bases.

$4^{n + 1} = 4^{- 2}$

Step 4

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

$n + 1 = - 2$

Step 5

Move all terms not containing $n$ to the right side of the equation.

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Step 5.1

Subtract $1$ from both sides of the equation.

$n = - 2 - 1$

Step 5.2

Subtract $1$ from $- 2$ .

$n = - 3$