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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
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:
ax × ay = ax+y
Therefore, we can rewrite 3 power 3 multiplied by 3 power 3 over 3 power 4 as,
= (33 × 33) / 34
= (33 + 3) / 34
= 36 / 34
Now, we use the quotient property of exponents:
am/an = am - n
= 36 - 4
= 32
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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