Solve 26523θθθeθθθθθ

$$26523 \theta \theta \theta e \theta \theta \theta \theta \theta$$

Evaluate

$$26523e\theta ^{8}$$

Solution Steps

Multiply \theta and \theta to get \theta ^{2}.

$$26523\theta ^{2}\theta e\theta \theta \theta \theta \theta$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$26523\theta ^{3}e\theta \theta \theta \theta \theta$$

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$26523\theta ^{4}e\theta \theta \theta \theta$$

To multiply powers of the same base, add their exponents. Add 4 and 1 to get 5.

$$26523\theta ^{5}e\theta \theta \theta$$

To multiply powers of the same base, add their exponents. Add 5 and 1 to get 6.

$$26523\theta ^{6}e\theta \theta$$

To multiply powers of the same base, add their exponents. Add 6 and 1 to get 7.

$$26523\theta ^{7}e\theta$$

To multiply powers of the same base, add their exponents. Add 7 and 1 to get 8.

$$26523\theta ^{8}e$$

Differentiate w.r.t. θ

$$212184e\theta ^{7}$$