Solve 7^8div343^frac{5{3}}*(7^2)^3

$$7 ^ { 8 } \div 343 ^ { \frac { 5 } { 3 } } \times ( 7 ^ { 2 } ) ^ { 3 }$$

Evaluate

$$40353607$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.

$$\frac{7^{8}}{343^{\frac{5}{3}}}\times 7^{6}$$

Calculate 7 to the power of 8 and get 5764801.

$$\frac{5764801}{343^{\frac{5}{3}}}\times 7^{6}$$

Calculate 343 to the power of \frac{5}{3} and get 16807.

$$\frac{5764801}{16807}\times 7^{6}$$

Divide 5764801 by 16807 to get 343.

$$343\times 7^{6}$$

Calculate 7 to the power of 6 and get 117649.

$$343\times 117649$$

Multiply 343 and 117649 to get 40353607.

$$40353607$$

Factor

$$7^{9}$$