Solve [6][-4]^6[-7]+5[-4]^5[-7]^4

$$[ 6 ] [ - 4 ] ^ { 6 } [ - 7 ] + 5 [ - 4 ] ^ { 5 } [ - 7 ] ^ { 4 }$$

Evaluate

$$-12465152$$

Solution Steps

Calculate -4 to the power of 6 and get 4096.

$$6\times 4096\left(-7\right)+5\left(-4\right)^{5}\left(-7\right)^{4}$$

Multiply 6 and 4096 to get 24576.

$$24576\left(-7\right)+5\left(-4\right)^{5}\left(-7\right)^{4}$$

Multiply 24576 and -7 to get -172032.

$$-172032+5\left(-4\right)^{5}\left(-7\right)^{4}$$

Calculate -4 to the power of 5 and get -1024.

$$-172032+5\left(-1024\right)\left(-7\right)^{4}$$

Multiply 5 and -1024 to get -5120.

$$-172032-5120\left(-7\right)^{4}$$

Calculate -7 to the power of 4 and get 2401.

$$-172032-5120\times 2401$$

Multiply -5120 and 2401 to get -12293120.

$$-172032-12293120$$

Subtract 12293120 from -172032 to get -12465152.

$$-12465152$$

Factor

$$-12465152$$