Solve 7^6-2-7^6/7^6+3

$$\frac { 7 ^ { 6 - 2 } - 7 ^ { 6 } } { 7 ^ { 6 + 3 } }$$

Evaluate

$$-\frac{48}{16807}\approx -0.002855953$$

Solution Steps

Subtract 2 from 6 to get 4.

$$\frac{7^{4}-7^{6}}{7^{6+3}}$$

Calculate 7 to the power of 4 and get 2401.

$$\frac{2401-7^{6}}{7^{6+3}}$$

Calculate 7 to the power of 6 and get 117649.

$$\frac{2401-117649}{7^{6+3}}$$

Subtract 117649 from 2401 to get -115248.

$$\frac{-115248}{7^{6+3}}$$

Add 6 and 3 to get 9.

$$\frac{-115248}{7^{9}}$$

Calculate 7 to the power of 9 and get 40353607.

$$\frac{-115248}{40353607}$$

Reduce the fraction \frac{-115248}{40353607} to lowest terms by extracting and canceling out 2401.

$$-\frac{48}{16807}$$

Factor

$$-\frac{48}{16807} = -0.002855952876777533$$