Question

check here for instructional material to complete this problem. express (2 cdot 2 cdot 2 cdot 2 cdot 3 cdot 3 cdot 3 cdot 3 cdot 3) using exponents. (2 cdot 2 cdot 2 cdot 2 cdot 3 cdot 3 cdot 3 cdot 3 cdot 3 = 2^4 cdot 3^{square})

Explanation:

Step1: Count the number of 3s

We have \(3\cdot3\cdot3\cdot3\cdot3\), so we count how many times 3 is multiplied. There are 5 instances of 3 being multiplied.

Step2: Write in exponent form

Using the definition of exponents, \(a\cdot a\cdot\cdots\cdot a\) (n times) is \(a^n\). So for 3 multiplied 5 times, it is \(3^5\).

Answer:

The value in the box should be 5, so the expression is \(2^{4}\cdot3^{5}\)