Solve frac{(a^{27}+a^15)+(a^-6)^4}{a^2}

$$\frac { ( a ^ { 27 } + a ^ { 15 } ) + ( a ^ { - 6 } ) ^ { 4 } } { a ^ { 2 } }$$

Evaluate

$$a^{25}+a^{13}+\frac{1}{a^{26}}$$

Short Solution Steps

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

$$\frac{a^{27}+a^{15}+a^{-24}}{a^{2}}$$

Factor the expressions that are not already factored.

$$\frac{a^{-24}\left(a^{51}+a^{39}+1\right)}{a^{2}}$$

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

$$\frac{a^{51}+a^{39}+1}{a^{26}}$$

Expand

$$a^{25}+a^{13}+\frac{1}{a^{26}}$$

Short Solution Steps

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

$$\frac{a^{27}+a^{15}+a^{-24}}{a^{2}}$$

Factor the expressions that are not already factored.

$$\frac{a^{-24}\left(a^{51}+a^{39}+1\right)}{a^{2}}$$

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

$$\frac{a^{51}+a^{39}+1}{a^{26}}$$