Using the Product Rule of Exponents, what is an equivalent form of 8 to the power 2 times 8 to the power of 6?

3 answers

The Product Rule of Exponents states that when multiplying two powers with the same base, you add their exponents.

In this case, 8 to the power of 2 times 8 to the power of 6 can be written as 8^(2+6).

Simplifying the exponents, we have 8^8 as the equivalent form.
what about 2 to the power od 6 times 2 to the power of 3
Using the Product Rule of Exponents, we add the exponents when multiplying two powers with the same base.

In this case, 2 to the power of 6 times 2 to the power of 3 can be written as 2^(6+3).

Simplifying the exponents, we have 2^9 as the equivalent form.