Use the Product Rule of Exponents to simplify the expression 2^4 * 2^2
The Product Rule of Exponents states that when multiplying two exponential expressions with the same base, you can add the exponents.
In this case, we have 2^4 * 2^2. The base is 2, and the exponents are 4 and 2.
Using the Product Rule of Exponents, we can add the exponents:
2^4 * 2^2 = 2^(4+2) = 2^6
Therefore, the simplified expression is 2^6.
To simplify the expression 2^4 * 2^2 using the Product Rule of Exponents, we add the exponents when multiplying powers with the same base.
The Product Rule of Exponents states that for any positive integers a and b, and any real number x:
a^x * a^y = a^(x+y)
In this case, we have 2^4 * 2^2. Since the bases are the same (2), we can apply the Product Rule of Exponents.
Using the rule, we add the exponents:
2^4 * 2^2 = 2^(4+2)
Simplifying the exponent, we get:
2^4 * 2^2 = 2^6
Therefore, the expression simplifies to 2^6.
The Product Rule of Exponents states that when you multiply two exponential expressions with the same base, you can add their exponents.
Let's simplify the expression 2^4 * 2^2 using the Product Rule of Exponents.
Starting with 2^4 * 2^2, we have the base 2 raised to the exponent 4, multiplied by the base 2 raised to the exponent 2.
Using the Product Rule of Exponents, we can add the exponents together since the base is the same:
2^4 * 2^2 = 2^(4+2)
Simplifying further, we add the exponents 4 and 2:
2^(4+2) = 2^6
Therefore, the expression 2^4 * 2^2 simplifies to 2^6.