Simplify 6^-1(4^-2)

$6^{- 1} (4^{- 2})$

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

$\frac{1}{6} \cdot 4^{- 2}$

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

$\frac{1}{6} \cdot \frac{1}{4^{2}}$

Combine.

$\frac{1 \cdot 1}{6 \cdot 4^{2}}$

Simplify the expression.

Multiply $1$ by $1$ .

$\frac{1}{6 \cdot 4^{2}}$

Raise $4$ to the power of $2$ .

$\frac{1}{6 \cdot 16}$

Multiply $6$ by $16$ .

$\frac{1}{96}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{96}$

Decimal Form:

$0.01041\overline{6}$