Solve {l}{a^4*a^6*a}{-15*a^10}

$$\left. \begin{array} { l } { a ^ { 4 } \cdot a ^ { 6 } \cdot a } \\ { - 15 \cdot a ^ { 10 } } \end{array} \right.$$

Evaluate

$$\left(a-15\right)a^{10}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 6 to get 10.

$$a^{10}a-15a^{10}$$

To multiply powers of the same base, add their exponents. Add 10 and 1 to get 11.

$$a^{11}-15a^{10}$$

Factor

$$\left(a-15\right)a^{10}$$

Solution Steps

Factor out a^{10}.

$$a^{10}\left(\frac{a^{6}a}{a^{6}}-15\right)$$