use the product rule of exponents to simplify the expression 3^8 x 3^3
The product rule of exponents states that when you are multiplying two terms with the same base, you can add their exponents.
In this case, we have the expression 3^8 x 3^3. The base is 3, and we can add the exponents 8 and 3.
So, 3^8 x 3^3 = 3^(8+3).
Adding the exponents, we get:
3^11.
Therefore, the simplified expression is 3^11.
7^5 x 7^2
Using the product rule of exponents, we know that when we multiply two terms with the same base, we can add their exponents. In this case, we have 7^5 multiplied by 7^2. The base is 7, and we can add the exponents 5 and 2.
So, 7^5 x 7^2 = 7^(5+2).
Adding the exponents, we get:
7^7.
Therefore, the simplified expression is 7^7.
7^2x7^3
Using the product rule of exponents, we know that when we multiply two terms with the same base, we can add their exponents. In this case, we have 7^2 multiplied by 7^3. The base is 7, and we can add the exponents 2 and 3.
So, 7^2 x 7^3 = 7^(2+3).
Adding the exponents, we get:
7^5.
Therefore, the simplified expression is 7^5.
7^2 x 7^3
Using the product rule of exponents, when multiplying two terms with the same base, we add their exponents. In this case, we have 7^2 multiplied by 7^3. The base is 7, and we add the exponents 2 and 3.
So, 7^2 x 7^3 = 7^(2+3).
Adding the exponents, we get:
7^5.
Therefore, the simplified expression is 7^5.
3^9 x 3^ -5
Using the product rule of exponents,
3^9 multiplied by 3^-5 can be simplified by adding their exponents.
So, 3^9 x 3^-5 is equal to 3^(9-5).
Subtracting the exponents, we get:
3^4.
Therefore, the simplified expression is 3^4.
To simplify the expression 3^8 x 3^3 using the product rule of exponents, we add the exponents when multiplying numbers with the same base.
The product rule of exponents states that a^m x a^n = a^(m + n), where "a" represents the base, and "m" and "n" are the exponents.
In this case, we have 3^8 x 3^3. Since the base, which is 3, is the same in both terms, we can apply the product rule of exponents:
3^8 x 3^3 = 3^(8 + 3)
Adding the exponents gives us 3^11. Therefore, the simplified expression is 3^11.