Question

Use properties of exponents to simplify the expression. First, express the answer in exponential form. Then, evaluate the expression.

Answer 1

Step-by-step explanation:

Given;

We are given the following expression;

`6\cdot6^2`

Required;

We are required to simplify the expression.

Step-by-step solution;

Using the properties of exponents,

`a^b\cdot a^c=a^(b+c)`

We now have the following;

`\begin{gathered} 6^1\cdot6^2=6^(1+2) \\ 6^1\cdot6^2=6^3 \end{gathered}`

Now we have the expression in exponential form.

To evaluate or simplify further, we now have;

`6^3=216`

ANSWER:

216