$a){\left(8^3\right)}^4=8^{3\cdot 4}=8^{12}$

$b){\left({\left(-10\right)}^6\right)}^7={\left(-10\right)}^{6\cdot 7}={\left(-10\right)}^{42}$ $b){\left({\left(-10\right)}^6\right)}^7={\left(-10\right)}^{6\cdot 7}={\left(-10\right)}^{42}$

$c){\left({\left(0,6\right)}^4\right)}^7={\left(0,6\right)}^{4\cdot 7}={\left(0,6\right)}^{28}$

$d){\left({\left(2\frac{2}{3}\right)}^3\right)}^9={\left(2\frac{2}{3}\right)}^{3\cdot 9}={\left(2\frac{2}{3}\right)}^{27}$

$e){\left(x^{10}\right)}^{15}=x^{10\cdot 15}=x^{150}$

$f){\left({\left(z^4\right)}^6\right)}^{10}=z^{4\cdot 6\cdot 10}=z^{240}$