What is the simplified expression for 3 power 3 multiplied by 3 power 3 over 3 power 4? (1 point)
30
31
32
34
34
To simplify the expression 3^3 * 3^3 / 3^4, we first use the properties of exponents.
The property states that when multiplying two numbers with the same base, the exponents are added. The property also states that when dividing two numbers with the same base, the exponents are subtracted.
So, 3^3 * 3^3 / 3^4 can be simplified as follows:
3^3 * 3^3 = 3^(3 + 3) = 3^6
Now, we can rewrite the expression as:
3^6 / 3^4
Using the property of exponents for division, we subtract the exponents:
3^6 / 3^4 = 3^(6 - 4) = 3^2
Therefore, the simplified expression is 3^2, which is equal to 9.
So, the answer is option 34.
To simplify the expression 3^3 * 3^3 / 3^4, we can use the exponent properties.
First, we can simplify the numerator (3^3 * 3^3) by adding the exponents since the bases are the same.
So, 3^3 * 3^3 = 3^(3+3) = 3^6.
Now, we can simplify the expression to 3^6 / 3^4.
To divide two exponents with the same base, we subtract the exponents. So, 3^6 / 3^4 = 3^(6-4) = 3^2.
Therefore, the simplified expression is 3^2, which equals 9.
So, the correct answer is 32.