Solve 3^11*3^12+4^8:4^7

$$3 ^ { 11 } \cdot 3 ^ { 12 } + 4 ^ { 8 } : 4 ^ { 7 }$$

Evaluate

$$94143178831$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 11 and 12 to get 23.

$$3^{23}+\frac{4^{8}}{4^{7}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 7 from 8 to get 1.

$$3^{23}+4^{1}$$

Calculate 3 to the power of 23 and get 94143178827.

$$94143178827+4^{1}$$

Calculate 4 to the power of 1 and get 4.

$$94143178827+4$$

Add 94143178827 and 4 to get 94143178831.

$$94143178831$$

Factor

$$13\times 19\times 381146473$$