Solve (-8x^2)(-7x^4)

$$( - 8 x ^ { 2 } ) ( - 7 x ^ { 4 } )$$

Evaluate

$$56x^{6}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 4 to get 6.

$$-8x^{6}\left(-7\right)$$

Multiply -8 and -7 to get 56.

$$56x^{6}$$

Differentiate w.r.t. x

$$336x^{5}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 2 and 4 to get 6.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-8x^{6}\left(-7\right))$$

Multiply -8 and -7 to get 56.

$$\frac{\mathrm{d}}{\mathrm{d}x}(56x^{6})$$

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

$$6\times 56x^{6-1}$$

Multiply 6 times 56.

$$336x^{6-1}$$

Subtract 1 from 6.

$$336x^{5}$$