Solve left(x^2right)^-3x^2^3{left({x}^4right)}^-frac{1{2}}

$${ \left( { x }^{ 2 } \right) }^{ -3 } { x }^{ { 2 }^{ 3 } } { \left( { x }^{ 4 } \right) }^{ - \frac{ 1 }{ 2 } }$$

Evaluate

$$1$$

Solution Steps

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

$$x^{-6}x^{2^{3}}\left(x^{4}\right)^{-\frac{1}{2}}$$

To raise a power to another power, multiply the exponents. Multiply 4 and -\frac{1}{2} to get -2.

$$x^{-6}x^{2^{3}}x^{-2}$$

To multiply powers of the same base, add their exponents. Add -6 and -2 to get -8.

$$x^{-8}x^{2^{3}}$$

Calculate 2 to the power of 3 and get 8.

$$x^{-8}x^{8}$$

Multiply x^{-8} and x^{8} to get 1.

$$1$$

Factor

$$1$$