Use the Product Rule of Exponents to simplify the expression 24 ⋅22.(1 point)
72⋅73 = 16807
The Product Rule of Exponents states that when you multiply two numbers with the same base, you add the exponents.
24 ⋅ 22 can be written as 2^4 ⋅ 2^2. Applying the Product Rule of Exponents, we have 2^(4+2) = 2^6.
Therefore, 24 ⋅ 22 simplifies to 2^6.
Use the Product Rule of Exponents to simplify the expression 38 ⋅33.(1 point)
The Product Rule of Exponents states that when you multiply two numbers with the same base, you add the exponents.
38 ⋅ 33 can be written as 3^8 ⋅ 3^3. Applying the Product Rule of Exponents, we have 3^(8+3) = 3^11.
Therefore, 38 ⋅ 33 simplifies to 3^11.
Use the Product Rule of Exponents to simplify the expression 75 ⋅72.(1 point)
The Product Rule of Exponents states that when you multiply two numbers with the same base, you add the exponents.
75 ⋅ 72 can be written as 7^5 ⋅ 7^2. Applying the Product Rule of Exponents, we have 7^(5+2) = 7^7.
Therefore, 75 ⋅ 72 simplifies to 7^7.