Solve [3text{markah}/3text{marks}]

$$[ 3 \text { markah } / 3 \text { marks } ]$$

Evaluate

$$hsa^{3}\left(kmr\right)^{2}$$

Solution Steps

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

$$\frac{3ma^{2}rkh}{3}marks$$

Cancel out 3 and 3.

$$ma^{2}rkhmarks$$

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

$$m^{2}a^{2}rkharks$$

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

$$m^{2}a^{3}rkhrks$$

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

$$m^{2}a^{3}r^{2}khks$$

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

$$m^{2}a^{3}r^{2}k^{2}hs$$

Differentiate w.r.t. h

$$sa^{3}\left(kmr\right)^{2}$$