Simplify 6*6^-2

$6 \cdot 6^{- 2}$

Step 1

Multiply $6$ by $6^{- 2}$ by adding the exponents.

Multiply $6$ by $6^{- 2}$ .

Raise $6$ to the power of $1$ .

$6^{1} \cdot 6^{- 2}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$6^{1 - 2}$

Subtract $2$ from $1$ .

$6^{- 1}$

Step 2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{6}$

Decimal Form:

$0.1\overline{6}$