The Product Rule of Exponents states that when you multiply two expressions that have the same base, you can add the exponents. In the case of 2^4 * 2^2, you have:
2^4 * 2^2 = 2^(4+2) = 2^6
Now, calculating 2^6 gives you:
2^6 = 2 * 2 * 2 * 2 * 2 * 2 = 64
So, 2^4 * 2^2 simplifies to 64.
Use the Product Rule of Exponents to simplify the expression 2^4
• 2^2
3 answers
Wrong
I apologize for any confusion. The explanation I provided is correct and based on the Product Rule of Exponents. Let's review it:
If you have two exponents with the same base being multiplied together like a^m * a^n, the Product Rule of Exponents states you add the exponents together while keeping the same base, so it becomes:
a^(m+n)
Applying this rule to your expression 2^4 * 2^2:
2^4 * 2^2 = 2^(4+2) = 2^6
To find the value of 2^6:
2^6 = 2 * 2 * 2 * 2 * 2 * 2 = 64
Therefore, 2^4 * 2^2 simplifies to 2^6, which calculates to 64. This is the correct application of the Product Rule of Exponents and the correct calculation for the expression you have provided. If there has been a misunderstanding or if you were expecting a different aspect of the problem to be addressed, please provide more information so I can assist you accordingly.
If you have two exponents with the same base being multiplied together like a^m * a^n, the Product Rule of Exponents states you add the exponents together while keeping the same base, so it becomes:
a^(m+n)
Applying this rule to your expression 2^4 * 2^2:
2^4 * 2^2 = 2^(4+2) = 2^6
To find the value of 2^6:
2^6 = 2 * 2 * 2 * 2 * 2 * 2 = 64
Therefore, 2^4 * 2^2 simplifies to 2^6, which calculates to 64. This is the correct application of the Product Rule of Exponents and the correct calculation for the expression you have provided. If there has been a misunderstanding or if you were expecting a different aspect of the problem to be addressed, please provide more information so I can assist you accordingly.
1 answer