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

**Example**

Simplify:

2a^{3} × 5a^{4}

**Answer**

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

We get:

2 × a × a × a × 5 × a × a × a × a

Bring the numbers to the front to get:

2 × 5 × a × a × a × a × a × a × a

This gives us

10 × a × a × a × a × a × a × a

which simplifies to

**10a ^{7}**

**Quick method**

Simplify:

2a^{3} × 5a^{4}

**Answer**

Multiply the numbers (2 × 5 = 10).

Add the indices of identical letters (3 + 4 = 7).

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