Use the Product Rule of Exponents to simplify the expression 2to the power of4 ⋅2to the power of2.
To simplify the expression using the Product Rule of Exponents, we add the exponents when multiplying two powers with the same base.
2^4 * 2^2 = 2^(4+2) = 2^6
So, the expression 2^4 * 2^2 is simplified to 2^6.
To simplify the expression 2^4 × 2^2 using the product rule of exponents, you need to add the exponents of the same base, which in this case is 2.
The product rule of exponents states that a^m × a^n = a^(m+n).
In this expression, 2^4 × 2^2, the base is 2. So, using the product rule of exponents, we can add the exponents:
2^4 × 2^2 = 2^(4+2)
Adding the exponents gives us:
2^(4+2) = 2^6
Therefore, the expression 2^4 × 2^2 simplifies to 2^6.
To simplify the expression using the Product Rule of Exponents, we can multiply the bases of the exponents together and combine the exponents. The Product Rule states that when you multiply two terms with the same base, you add their exponents.
In this case, we have 2 raised to the power of 4 multiplied by 2 raised to the power of 2:
2^4 * 2^2
Applying the Product Rule, we add the exponents together:
2^(4+2)
Simplifying the exponent:
2^6
Therefore, the simplified expression is 2 raised to the power of 6.