Solve (a^-7+a^15)+(a^-6)^4/a

$$\frac { ( a ^ { - 7 } + a ^ { 15 } ) + ( a ^ { - 6 } ) ^ { 4 } } { a }$$

Evaluate

$$a^{14}+\frac{1}{a^{8}}+\frac{1}{a^{25}}$$

Short Solution Steps

To raise a power to another power, multiply the exponents. Multiply -6 and 4 to get -24.

$$\frac{a^{-7}+a^{15}+a^{-24}}{a}$$

Factor the expressions that are not already factored.

$$\frac{a^{-24}\left(a^{39}+a^{17}+1\right)}{a}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{a^{39}+a^{17}+1}{a^{25}}$$

Expand

$$a^{14}+\frac{1}{a^{8}}+\frac{1}{a^{25}}$$

Short Solution Steps

To raise a power to another power, multiply the exponents. Multiply -6 and 4 to get -24.

$$\frac{a^{-7}+a^{15}+a^{-24}}{a}$$

Factor the expressions that are not already factored.

$$\frac{a^{-24}\left(a^{39}+a^{17}+1\right)}{a}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{a^{39}+a^{17}+1}{a^{25}}$$