Solve 6^10*6^0*3^-2*3^4

$$6 ^ { 10 } \cdot 6 ^ { 0 } \cdot 3 ^ { - 2 } \cdot 3 ^ { 4 }$$

Evaluate

$$544195584$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 10 and 0 to get 10.

$$6^{10}\times 3^{-2}\times 3^{4}$$

To multiply powers of the same base, add their exponents. Add -2 and 4 to get 2.

$$6^{10}\times 3^{2}$$

Calculate 6 to the power of 10 and get 60466176.

$$60466176\times 3^{2}$$

Calculate 3 to the power of 2 and get 9.

$$60466176\times 9$$

Multiply 60466176 and 9 to get 544195584.

$$544195584$$

Factor

$$2^{10}\times 3^{12}$$