Solve x^2*x^5quadtext{6.}a*a^0

$$x ^ { 2 } \cdot x ^ { 5 } \quad \text { 6. } a \cdot a ^ { 0 }$$

Evaluate

$$6ax^{7}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 5 to get 7.

$$x^{7}\times 6aa^{0}$$

To multiply powers of the same base, add their exponents. Add 1 and 0 to get 1.

$$x^{7}\times 6a^{1}$$

Calculate a to the power of 1 and get a.

$$x^{7}\times 6a$$

Differentiate w.r.t. x

$$42ax^{6}$$