Use the Product Rule of Exponents to simplify the expression 2 with the exponent of 4 ⋅2 with the exponent of 2.
To find out how long it will take Rubio to get to his friend's house, we need to determine the number of intervals of 2/3 mile he needs to cover.
Given that his friend's house is 1 mile away, we need to find the number of intervals of 2/3 mile that equal 1 mile.
1 ÷ (2/3) = 1 * (3/2) = 3/2 = 1.5 intervals
Since each interval takes 16 minutes according to the given information, Rubio will need to multiply the number of intervals by 16 to find the total time:
1.5 intervals * 16 minutes/interval = 24 minutes
Therefore, it will take Rubio 24 minutes to get to his friend's house.
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To simplify the expression 2^4 ⋅ 2^2 using the Product Rule of Exponents, we add the exponents together because the bases are the same.
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 3^8 ⋅ 3^3 using the Product Rule of Exponents, we add the exponents together because the bases are the same.
3^8 ⋅ 3^3 = 3^(8+3) = 3^11
Therefore, the simplified expression is 3^11.
Use the Product Rule of Exponents to simplify the expression 7^5 ⋅7^2.
To simplify the expression 7^5 ⋅ 7^2 using the Product Rule of Exponents, we add the exponents together because the bases are the same.
7^5 ⋅ 7^2 = 7^(5+2) = 7^7
Therefore, the simplified expression is 7^7.
Use the Product Rule of Exponents to simplify the expression 7^2 ⋅7^3.
To simplify the expression 7^2 ⋅ 7^3 using the Product Rule of Exponents, we add the exponents together because the bases are the same.
7^2 ⋅ 7^3 = 7^(2+3) = 7^5
Therefore, the simplified expression is 7^5.