Solve 20text{days(b)}30text{days(c)}40text{days(d)}50

$$20 \text { days (b) } 30 \text { days (c) } 40 \text { days (d) } 50$$

Evaluate

$$1200000bcd^{4}\left(asy\right)^{3}$$

Solution Steps

Multiply d and d to get d^{2}.

$$20d^{2}aysb\times 30aysc\times 40daysd\times 50$$

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

$$20d^{3}aysb\times 30aysc\times 40aysd\times 50$$

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

$$20d^{4}aysb\times 30aysc\times 40ays\times 50$$

Multiply a and a to get a^{2}.

$$20d^{4}a^{2}ysb\times 30ysc\times 40ays\times 50$$

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

$$20d^{4}a^{3}ysb\times 30ysc\times 40ys\times 50$$

Multiply y and y to get y^{2}.

$$20d^{4}a^{3}y^{2}sb\times 30sc\times 40ys\times 50$$

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

$$20d^{4}a^{3}y^{3}sb\times 30sc\times 40s\times 50$$

Multiply s and s to get s^{2}.

$$20d^{4}a^{3}y^{3}s^{2}b\times 30c\times 40s\times 50$$

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

$$20d^{4}a^{3}y^{3}s^{3}b\times 30c\times 40\times 50$$

Multiply 20 and 30 to get 600.

$$600d^{4}a^{3}y^{3}s^{3}bc\times 40\times 50$$

Multiply 600 and 40 to get 24000.

$$24000d^{4}a^{3}y^{3}s^{3}bc\times 50$$

Multiply 24000 and 50 to get 1200000.

$$1200000d^{4}a^{3}y^{3}s^{3}bc$$

Differentiate w.r.t. b

$$1200000cd^{4}\left(asy\right)^{3}$$