Solve left(-2^3-2^5right)^22^15

$${ \left( { -2 }^{ 3 } { -2 }^{ 5 } \right) }^{ 2 } { 2 }^{ 15 }$$

Evaluate

$$2147483648$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 5 to get 8.

$$\left(\left(-2\right)^{8}\right)^{2}\times 2^{15}$$

To raise a power to another power, multiply the exponents. Multiply 8 and 2 to get 16.

$$\left(-2\right)^{16}\times 2^{15}$$

Calculate -2 to the power of 16 and get 65536.

$$65536\times 2^{15}$$

Calculate 2 to the power of 15 and get 32768.

$$65536\times 32768$$

Multiply 65536 and 32768 to get 2147483648.

$$2147483648$$

Factor

$$2^{31}$$