This worksheet is about the multiplication of algebraic terms with powers.

**Example**

Simplify:

2a^{3}b × 5a^{4}b^{2}

**Answer**

Remember what 2a^{3}b and 5a^{4}b^{2} means and multiply them.

We get:

2 × a × a × a × b × 5 × a × a × a × a × b × b

Bring the numbers to the front and separate the letters to get:

2 × 5 × a × a × a × a × a × a × a × b × b × b

This gives us

10 × a × a × a × a × a × a × a × b × b × b

which simplifies to

**10a ^{7}b^{3}**

**Quick method**

Simplify:

2a^{3}b × 5a^{4}b^{2}

**Answer**

Multiply the numbers (2 × 5 = 10).

Add the indices of identical letters (for **a**: 3 + 4 = 7 and for **b**: 1 + 2 = 3).

Answer is **10a ^{7}b^{3}**.