Solve 5[1]+7[1]^2(13[-1]^2[1]^3)

$$5 [ 1 ] + 7 [ 1 ] ^ { 2 } ( 13 [ - 1 ] ^ { 2 } [ 1 ] ^ { 3 } )$$

Evaluate

$$96$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

$$5\times 1+7\times 1^{5}\times 13\left(-1\right)^{2}$$

Multiply 5 and 1 to get 5.

$$5+7\times 1^{5}\times 13\left(-1\right)^{2}$$

Calculate 1 to the power of 5 and get 1.

$$5+7\times 1\times 13\left(-1\right)^{2}$$

Multiply 7 and 1 to get 7.

$$5+7\times 13\left(-1\right)^{2}$$

Multiply 7 and 13 to get 91.

$$5+91\left(-1\right)^{2}$$

Calculate -1 to the power of 2 and get 1.

$$5+91\times 1$$

Multiply 91 and 1 to get 91.

$$5+91$$

Add 5 and 91 to get 96.

$$96$$

Factor

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