Solve 3-7[3^10*(-7)^11]:441^5

$$3 - 7 [ 3 ^ { 10 } * ( - 7 ) ^ { 11 } ] : 441 ^ { 5 }$$

Evaluate

$$52$$

Solution Steps

Calculate 3 to the power of 10 and get 59049.

$$3-\frac{7\times 59049\left(-7\right)^{11}}{441^{5}}$$

Multiply 7 and 59049 to get 413343.

$$3-\frac{413343\left(-7\right)^{11}}{441^{5}}$$

Calculate -7 to the power of 11 and get -1977326743.

$$3-\frac{413343\left(-1977326743\right)}{441^{5}}$$

Multiply 413343 and -1977326743 to get -817314167931849.

$$3-\frac{-817314167931849}{441^{5}}$$

Calculate 441 to the power of 5 and get 16679880978201.

$$3-\frac{-817314167931849}{16679880978201}$$

Divide -817314167931849 by 16679880978201 to get -49.

$$3-\left(-49\right)$$

The opposite of -49 is 49.

$$3+49$$

Add 3 and 49 to get 52.

$$52$$

Factor

$$2^{2}\times 13$$