Question

What is 3 to the 8th power times 3 to the 2nd power simplified and what law did you use?

Answer 1

3^10 and the law used would be the Product Rule for exponents.

Explanation:

turning this question into an equation you would get:

3^8 * 3^2 = ?

The law you use in this situation is the product rule for exponents. If you have the same base number (in this case it is 3) with exponents and you are multiplying them, then you can add the exponent numbers and keep the base the same. This product rule looks like this:

A^x * A^y = A^(x+y)

Applying it to this question, you get

3^8 * 3^2 = 3^(8+2)

3^(8+2) is 3^10.

Therefore the simplified expression is 3^10.

Answer 2

`3^(10)`

Explanation:

`3^(8)*3^(2)=3^(8+2)=3^(10)`

Using the multiplication/product law of exponents, you can add the exponents up.