Solve ([(64) ^ - 2] ^ - 3) / ([\{(- 8) ^ 2\} ^ 3] ^ 2)

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Question

$$[(64)^{-2}]^{-3}\div[\{(-8)^{2}\}^{3}]^{2}$$

$1$

To raise a power to another power, multiply the exponents. Multiply $-2$ and $-3$ to get $6$.

$$\frac{64^{6}}{\left(\left(\left(-8\right)^{2}\right)^{3}\right)^{2}}$$

To raise a power to another power, multiply the exponents. Multiply $2$ and $3$ to get $6$.

$$\frac{64^{6}}{\left(\left(-8\right)^{6}\right)^{2}}$$

To raise a power to another power, multiply the exponents. Multiply $6$ and $2$ to get $12$.

$$\frac{64^{6}}{\left(-8\right)^{12}}$$

Calculate $64$ to the power of $6$ and get $68719476736$.

$$\frac{68719476736}{\left(-8\right)^{12}}$$

Calculate $-8$ to the power of $12$ and get $68719476736$.

$$\frac{68719476736}{68719476736}$$

Divide $68719476736$ by $68719476736$ to get $1$.

$$1$$

$1$