57.1k views
5 votes
Write 3³ divided by (√3)² as a single power of 3

User Moshik
by
6.9k points

1 Answer

3 votes

Final answer:

To determine the outcome of the equation 3³ divided by (√3)², we simplify each part of the equation and then perform the division. This consequently leads to 3³, which is 27, divided by (√3)², which simplifies to 3. The equation thus simplifies to equal 9.

Step-by-step explanation:

To solve the equation 3³ divided by (√3)², we should first simplify each part of the equation.

Firstly, 3³ simply means 3 multiplied by itself 3 times which equals 27.

Next, (√3)² simply means square root of 3 squared, which gives us 3.

So the equation becomes 27 divided by 3. The result of this, which is 9, is the single power of 3.

Hence, the solution to the expression 3³ divided by (√3)² is 9.

Next, (√3)² is the square of the square root of 3, which is 3. Dividing 27 by 3 gives us 9. So, 3³ divided by (√3)² can be written as 9, which is a single power of 3.

Learn more about Exponent Division

User Jpreynat
by
6.6k points