Solve 6^6*6^7/(6^3)^4

$$\frac { 6 ^ { 6 } \cdot 6 ^ { 7 } } { ( 6 ^ { 3 } ) ^ { 4 } }$$

Evaluate

$$6$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 6 and 7 to get 13.

$$\frac{6^{13}}{\left(6^{3}\right)^{4}}$$

To raise a power to another power, multiply the exponents. Multiply 3 and 4 to get 12.

$$\frac{6^{13}}{6^{12}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 12 from 13 to get 1.

$$6^{1}$$

Calculate 6 to the power of 1 and get 6.

$$6$$

Factor

$$2\times 3$$