Lesson

We multiply and divide algebraic terms using this process:

Split each term into its coefficient and its pronumerals.

Find the product or quotient of the coefficient of the terms.

When multiplying, combine like factors into a power. For example, x\times x=x^2.

When dividing, cancel any common factors. For example, x\div x=1.

Combine the coefficient and pronumerals into one term.

Unlike adding and subtracting , when we multiply or divide algebraic terms, we can collect them into one term.

Simplify the expression 7\times u\times v\times 9.

Worked Solution

Simplify the expression \dfrac{15yw}{5y}.

Worked Solution

Idea summary

We multiply and divide algebraic terms using this process:

Split each term into its coefficient and its pronumerals.

Find the product or quotient of the coefficient of the terms.

When multiplying, combine like factors into a power. For example, x\times x=x^2.

When dividing, cancel any common factors. For example, x\div x=1.

Combine the coefficient and pronumerals into one term.

Unlike adding and subtracting, when we multiply or divide algebraic terms, we can collect them into one term.

operates with positive-integer and zero indices of numerical bases