Simplify (3^3*6^6)^-3

${(3^{3} \cdot 6^{6})}^{- 3}$

Step 1

Raise $3$ to the power of $3$ .

${(27 \cdot 6^{6})}^{- 3}$

Step 2

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

${(27 \cdot 46656)}^{- 3}$

Step 3

Multiply $27$ by $46656$ .

$1259712^{- 3}$

Step 4

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

$\frac{1}{1259712^{3}}$

Step 5

Raise $1259712$ to the power of $3$ .

$\frac{1}{1999004627104430000}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{1999004627104430000}$

Decimal Form:

$5.00248967 \cdot 10^{- 19}$