Use the Product Rule of Exponents to simplify the expression 2^4 ⋅2^2
To simplify the expression 2^4 ⋅2^2 using the Product Rule of Exponents, we add the exponents together.
2^4 ⋅2^2 = 2^(4+2) = 2^6
Therefore, the simplified expression is 2^6.
Use the Product Rule of Exponents to simplify the expression 3^8 ⋅3^3
To simplify the expression 2^4 ⋅ 2^2 using the Product Rule of Exponents, we need to add the exponents together because we are multiplying two exponential terms with the same base.
The Product Rule of Exponents states that for any positive number a, and any integers m and n:
a^m ⋅ a^n = a^(m + n)
In this case, we have 2^4 and 2^2, so we can combine the exponents:
2^4 ⋅ 2^2 = 2^(4 + 2)
Adding the exponents, we get:
2^4 ⋅ 2^2 = 2^6
Therefore, the expression 2^4 ⋅ 2^2 simplifies to 2^6.
To simplify the expression 2^4 ⋅ 2^2 using the Product Rule of Exponents, we can combine the two terms with the same base (2) by adding their exponents:
2^4 ⋅ 2^2 = 2^(4+2)
Now we can simplify the exponent:
2^(4+2) = 2^6
Therefore, 2^4 ⋅ 2^2 simplifies to 2^6.