Use the product rule of exponents to simplify the expression 2 to the power of 4 multiplied by 2 to the power of 2
To simplify the expression, we can use the product rule of exponents, which states that when multiplying two powers with the same base, we add their exponents.
Therefore, 2^4 multiplied by 2^2 can be written as:
2^(4+2) = 2^6.
Therefore, 2 to the power of 4 multiplied by 2 to the power of 2 simplifies to 2 to the power of 6.
To simplify the expression 2 to the power of 4 multiplied by 2 to the power of 2 using the product rule of exponents, we can add the exponents of the same base.
Step 1: Start with the expression 2 to the power of 4 multiplied by 2 to the power of 2.
2^4 * 2^2
Step 2: Apply the product rule by adding the exponents.
2^(4+2)
Step 3: Simplify the exponent.
2^6
Therefore, the simplified expression is 2 to the power of 6.