Solve 5*3^3*(2*1^-1*2^4*3)

$$5 \cdot 3 ^ { 3 } \cdot ( 2 \cdot 1 ^ { - 1 } \cdot 2 ^ { 4 } \cdot 3 )$$

Evaluate

$$12960$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$5\times 3^{4}\times 2\times 1^{-1}\times 2^{4}$$

To multiply powers of the same base, add their exponents. Add 1 and 4 to get 5.

$$5\times 3^{4}\times 2^{5}\times 1^{-1}$$

Calculate 3 to the power of 4 and get 81.

$$5\times 81\times 2^{5}\times 1^{-1}$$

Multiply 5 and 81 to get 405.

$$405\times 2^{5}\times 1^{-1}$$

Calculate 2 to the power of 5 and get 32.

$$405\times 32\times 1^{-1}$$

Multiply 405 and 32 to get 12960.

$$12960\times 1^{-1}$$

Calculate 1 to the power of -1 and get 1.

$$12960\times 1$$

Multiply 12960 and 1 to get 12960.

$$12960$$

Factor

$$2^{5}\times 3^{4}\times 5$$