Solve 8^9*9^8*8*9

$${ 8 }^{ 9 } \times { 9 }^{ 8 } \times 8 \times 9$$

Evaluate

$$415989582513831936$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 9 and 1 to get 10.

$$8^{10}\times 9^{8}\times 9$$

To multiply powers of the same base, add their exponents. Add 8 and 1 to get 9.

$$8^{10}\times 9^{9}$$

Calculate 8 to the power of 10 and get 1073741824.

$$1073741824\times 9^{9}$$

Calculate 9 to the power of 9 and get 387420489.

$$1073741824\times 387420489$$

Multiply 1073741824 and 387420489 to get 415989582513831936.

$$415989582513831936$$

Factor

$$2^{30}\times 3^{18}$$