Apply the Product Rule of Exponents to solve and simplify 3^3⋅3^2 as an equivalent expression

3 answers

According to the product rule of exponents, when multiplying two exponential expressions with the same base, we add the exponents.

In this case, we have 3 raised to the power of 3 multiplied by 3 raised to the power of 2.

So, applying the product rule of exponents, we add the exponents:

3^3 * 3^2 = 3^(3+2) = 3^5

Therefore, 3^3 * 3^2 is equivalent to 3^5.
simplify 3^5
3^5 is equal to 3 * 3 * 3 * 3 * 3, which is equal to 243. Therefore, the simplified form of 3^5 is 243.