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 = 3³

3 power 4 = 3⁴

The expression can be written as (3³ × 3³)/3⁴

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,

= (3³ × 3³) / 3⁴

= (3^{3 + 3}) / 3⁴

= 3⁶ / 3⁴

Now, we use the quotient property of exponents:

a^m/aⁿ = a^{m - n}

= 3^{6 - 4}

= 3²

Therefore, the simplified value of the expression is 9.

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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.