Solve 9a^-7left(2bright)^0

$$9 { a }^{ -7 } { \left(2b \right) }^{ 0 }$$

Evaluate

$$\frac{9}{a^{7}}$$

Solution Steps

Calculate 2b to the power of 0 and get 1.

$$9a^{-7}\times 1$$

Multiply 9 and 1 to get 9.

$$9a^{-7}$$

Differentiate w.r.t. a

$$-\frac{63}{a^{8}}$$

Steps Using Definition of a Derivative

Calculate 2b to the power of 0 and get 1.

$$\frac{\mathrm{d}}{\mathrm{d}a}(9a^{-7}\times 1)$$

Multiply 9 and 1 to get 9.

$$\frac{\mathrm{d}}{\mathrm{d}a}(9a^{-7})$$

The derivative of ax^{n} is nax^{n-1}.

$$-7\times 9a^{-7-1}$$

Multiply -7 times 9.

$$-63a^{-7-1}$$

Subtract 1 from -7.

$$-63a^{-8}$$