Solve -3y^4*3y^4

$$- 3 y ^ { 4 } \cdot 3 y ^ { 4 }$$

Evaluate

$$-9y^{8}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 4 to get 8.

$$-3y^{8}\times 3$$

Multiply -3 and 3 to get -9.

$$-9y^{8}$$

Differentiate w.r.t. y

$$-72y^{7}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 4 and 4 to get 8.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-3y^{8}\times 3)$$

Multiply -3 and 3 to get -9.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-9y^{8})$$

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

$$8\left(-9\right)y^{8-1}$$

Multiply 8 times -9.

$$-72y^{8-1}$$

Subtract 1 from 8.

$$-72y^{7}$$