Algebra Examples

$8^{c} = \frac{1}{64}$

Step 1

Raise $64$ to the power of $1$ .

$8^{c} = \frac{1}{64^{1}}$

Step 2

Move $64^{1}$ to the numerator using the negative exponent rule $\frac{1}{b^{n}} = b^{- n}$ .

$8^{c} = 64^{- 1}$

Step 3

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

$8^{c} = 8^{- 2}$

Step 4

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

$c = - 2$