Solve 6^3*6^4*6^5*6^6

$${ 6 }^{ 3 } \times { 6 }^{ 4 } \times { 6 }^{ 5 } \times { 6 }^{ 6 }$$

Evaluate

$$101559956668416$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 4 to get 7.

$$6^{7}\times 6^{5}\times 6^{6}$$

To multiply powers of the same base, add their exponents. Add 7 and 5 to get 12.

$$6^{12}\times 6^{6}$$

To multiply powers of the same base, add their exponents. Add 12 and 6 to get 18.

$$6^{18}$$

Calculate 6 to the power of 18 and get 101559956668416.

$$101559956668416$$

Factor

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