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# What is the simplified expression for 3 power 3 multiplied by 3 power 3 over 3 power 4?

**Solution:**

Given, the expression is 3 power 3 multiplied by 3 power 3 over 3 power 4

We can simplify this by the use of the multiplication rule of exponents.

3 power 3 = 3^{3}

3 power 4 = 3^{4}

The expression can be written as (3^{3} × 3^{3})/3^{4}

According to the multiplication rule of exponents and powers:

a^{x} × a^{y} = a^{x+y}

Therefore, we can rewrite 3 power 3 multiplied by 3 power 3 over 3 power 4 as,

= (3^{3 }× 3^{3}) / 3^{4}

= (3^{3 }^{+ 3}) / 3^{4}

= 3^{6 }/ 3^{4}

Now, we use the quotient property of exponents:

a^{m}/a^{n} = a^{m - n}

= 3^{6 - 4}

= 3^{2}

Therefore, the simplified value of the expression is 9.

## What is the simplified expression for 3 power 3 multiplied by 3 power 3 over 3 power 4?

**Summary:**

The simplified expression for 3 power 3 multiplied by 3 power 3 over 3 power 4 is 9.

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