Solve d+6^3-6^2/(6^2*6^3)

$$d + \frac { 6 ^ { 3 } - 6 ^ { 2 } } { ( 6 ^ { 2 } \cdot 6 ^ { 3 } ) }$$

Evaluate

$$d = \frac{5}{216} = 0.023148148148148147$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

$$d+\frac{6^{3}-6^{2}}{6^{5}}$$

Calculate 6 to the power of 3 and get 216.

$$d+\frac{216-6^{2}}{6^{5}}$$

Calculate 6 to the power of 2 and get 36.

$$d+\frac{216-36}{6^{5}}$$

Subtract 36 from 216 to get 180.

$$d+\frac{180}{6^{5}}$$

Calculate 6 to the power of 5 and get 7776.

$$d+\frac{180}{7776}$$

Reduce the fraction \frac{180}{7776} to lowest terms by extracting and canceling out 36.

$$d+\frac{5}{216}$$

Expand

$$d = \frac{5}{216} = 0.023148148148148147$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

$$d+\frac{6^{3}-6^{2}}{6^{5}}$$

Calculate 6 to the power of 3 and get 216.

$$d+\frac{216-6^{2}}{6^{5}}$$

Calculate 6 to the power of 2 and get 36.

$$d+\frac{216-36}{6^{5}}$$

Subtract 36 from 216 to get 180.

$$d+\frac{180}{6^{5}}$$

Calculate 6 to the power of 5 and get 7776.

$$d+\frac{180}{7776}$$

Reduce the fraction \frac{180}{7776} to lowest terms by extracting and canceling out 36.

$$d+\frac{5}{216}$$