Use the Product Rule of Exponents to simplify the expression 2 to the 4th power ⋅ 2 to the 2ed power
The Product Rule of Exponents states that for any two real numbers a and b, and any positive integer n, a to the n-th power multiplied by a to the b-th power equals a to the (n+b)-th power.
Applying the Product Rule of Exponents to the expression 2^4 * 2^2:
2^4 * 2^2 = 2^(4+2) = 2^6
Therefore, 2^4 * 2^2 simplifies to 2^6.
3 to the 8th power * 3 to the 3ed power
Using the Product Rule of Exponents, we can simplify the expression 3^8 * 3^3 as follows:
3^8 * 3^3 = 3^(8+3) = 3^11
Therefore, 3^8 * 3^3 simplifies to 3^11.
7 to the 5th power * 7 to the 2ed power
Using the Product Rule of Exponents, we can simplify the expression 7^5 * 7^2 as follows:
7^5 * 7^2 = 7^(5+2) = 7^7
Therefore, 7^5 * 7^2 simplifies to 7^7.
7 to the 2ed power * 7 to the 3ed power
Using the Product Rule of Exponents, we can simplify the expression 7^2 * 7^3 as follows:
7^2 * 7^3 = 7^(2+3) = 7^5
Therefore, 7^2 * 7^3 simplifies to 7^5.
Find the numerical equivalent of 7^2⋅7^3
To find the numerical equivalent of 7^2 * 7^3, we can simply calculate the exponentiation and multiplication:
7^2 * 7^3 = 49 * 343 = 16,807
Therefore, the numerical equivalent of 7^2 * 7^3 is 16,807.