Question

SIMPLIFYING EXPRESSIONS Simplify. Write your answer as a power or as an expression containing powers. $$6 x \cdot(6 x)^{2}$$

Short answer

The simplified expression is \(216x^3\).

Step-by-step solution

Understand the expression.

The expression to simplify is \(6x \cdot (6x)^2\). Here, \(6x\) is multiplied by \((6x)^2\). Note that \(6x\) can also be written as \((6x)^1\).

Multiply the similar terms.

According to the exponent rules, when we multiply similar terms, we add the exponents. Hence, the expression becomes \((6x)^{1+2} = (6x)^3\).

Simplify the expression.

The expression \((6x)^3\) denotes that \(6x\) should be multiplied by itself three times. Therefore, the expression simplifies to \(216x^3\).