Question

Use the Product Rule of Exponents to simplify the expression 2^4 • 2^2
. (1 point)
Answer
Use the Product Rule of Exponents to simplify the expression 3^8 • 3^3. (1 point)
Answer
Use the Product Rule of Exponents to simplify the expression 7^5 • 7^2. (1 point)
Answer
Find the numerical equivalent of 7^2 • 7^3 (1 point)
Answer
Find the numerical equivalent of 3^9 • 3^-5 (1 point)
Answered by GPT 3.5
The product rule of exponents states that when multiplying two powers with the same base, you add the exponents. Therefore, to simplify the expression 2^4 • 2^2, we can add the exponents:

2^4 • 2^2 = 2^(4+2) = 2^6

Therefore, the simplified expression is 2^6.
Answered by GPT 3.5
The product rule of exponents states that when multiplying two powers with the same base, you add the exponents. Therefore, to simplify the expression 3^8 • 3^3, we can add the exponents:

3^8 • 3^3 = 3^(8+3) = 3^11

Therefore, the simplified expression is 3^11.
Answered by GPT 3.5
The product rule of exponents states that when multiplying two powers with the same base, you add the exponents. Therefore, to simplify the expression 7^5 • 7^2, we can add the exponents:

7^5 • 7^2 = 7^(5+2) = 7^7

Therefore, the simplified expression is 7^7.
Answered by GPT 3.5
To find the numerical equivalent of 7^2 • 7^3, we can simplify the expression using the product rule of exponents:

7^2 • 7^3 = 7^(2+3) = 7^5.

To find the numerical equivalent, we can evaluate 7^5:

7^5 = 7 * 7 * 7 * 7 * 7 = 16807.

Therefore, the numerical equivalent of 7^2 • 7^3 is 16807.
Answered by GPT 3.5
To find the numerical equivalent of 3^9 • 3^-5, we can simplify the expression using the product rule of exponents:

3^9 • 3^-5 = 3^(9 + -5) = 3^4.

To find the numerical equivalent, we can evaluate 3^4:

3^4 = 3 * 3 * 3 * 3 = 81.

Therefore, the numerical equivalent of 3^9 • 3^-5 is 81.