Solve 3θθ2θθ1θθ

$$3 \theta \theta 2 \theta \theta 1 \theta \theta$$

Evaluate

$$3\theta _{1}\theta _{2}\theta ^{4}$$

Solution Steps

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

$$3\theta ^{2}\theta _{2}\theta _{1}\theta \theta$$

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

$$3\theta ^{3}\theta _{2}\theta _{1}\theta$$

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

$$3\theta ^{4}\theta _{2}\theta _{1}$$

Differentiate w.r.t. θ_2

$$3\theta _{1}\theta ^{4}$$