Use the Product Rule of Exponents to simplify the expression 2^4 x 2^2.(1 point)
To simplify the expression 2^4 x 2^2 using the Product Rule of Exponents, we add the exponents together.
Therefore, 2^4 x 2^2 can be simplified as 2^(4+2) = 2^6.
Use the Product Rule of Exponents to simplify the expression 3^8 x 3^3.(1 point)
To simplify the expression 3^8 x 3^3 using the Product Rule of Exponents, we add the exponents together.
Therefore, 3^8 x 3^3 can be simplified as 3^(8+3) = 3^11.
Find the numerical equivalent of 72⋅73(1 point)
To find the numerical equivalent of 72⋅73, we simply multiply the two numbers together.
72⋅73 = 5256.
Find the numerical equivalent of 7^2 x 7^3(1 point)
To find the numerical equivalent of 7^2 x 7^3, we need to apply the Product Rule of Exponents. According to this rule, when multiplying powers with the same base, we add the exponents together.
In this case, since we have 7^2 multiplied by 7^3, we can add the exponents:
7^2 x 7^3 = 7^(2+3) = 7^5.
To find the numerical value of 7^5, we can simply calculate:
7^5 = 7 x 7 x 7 x 7 x 7 = 16807.
Therefore, the numerical equivalent of 7^2 x 7^3 is 16807.
Find the numerical equivalent of 3^9 x 3−5(1 point)
To find the numerical equivalent of 3^9 x 3^(-5), we will apply the Product Rule of Exponents. According to this rule, when multiplying powers with the same base, we add the exponents together.
In this case, we have 3^9 multiplied by 3^(-5), so we can add the exponents:
3^9 x 3^(-5) = 3^(9+(-5)) = 3^4.
To find the numerical value of 3^4, we can simply calculate:
3^4 = 3 x 3 x 3 x 3 = 81.
Therefore, the numerical equivalent of 3^9 x 3^(-5) is 81.
Which of the following is using the Product Rule for Exponents correctly?(1 point)
Responses
53×57=521
5 cubed times 5 to the 7th power is equal to 5 to the 21th power
126×12−5=12
12 to the 6th power times 12 to the negative 5 power is equal to 12
82×810=1612
8 squared times 8 to the 10th power is equal to 16 to the 12th power
326×323=323