Use the Product Rule of Exponents to simplify the expression 2 to the power of 4 ⋅ 2 to the power of 2
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To simplify the expression using the Product Rule of Exponents, we can add the exponents when the bases are the same.
2 to the power of 4 ⋅ 2 to the power of 2 becomes 2^(4+2).
This simplifies to 2^6.
Therefore, the expression simplifies to 64.
To simplify the expression 2 to the power of 4 ⋅ 2 to the power of 2 using the Product Rule of Exponents, we need to add the exponents of the base, which in this case is 2.
According to the Product Rule of Exponents, when you multiply two terms with the same base, you add their exponents. So, in this case, we have 2 to the power of 4 multiplied by 2 to the power of 2.
To simplify this expression, we add the exponents:
2^4 ⋅ 2^2 = 2^(4 + 2)
= 2^6
Therefore, the simplified expression is 2 to the power of 6.
The Product Rule of Exponents states that when multiplying two powers with the same base, we can add the exponents.
In this case, we have 2 to the power of 4 multiplied by 2 to the power of 2.
Using the Product Rule of Exponents, we add the exponents:
2^4 ⋅ 2^2 = 2^(4+2) = 2^6
Therefore, the simplified expression is 2 to the power of 6.