Using the Product Rule of Exponents, what is 7 to the 7 power divided by 7 to the 3 power?
7 to the 7 power divided by 7 to the 3 power can be simplified using the Product Rule of Exponents, which states that when you divide two numbers with the same base but different exponents, you subtract the exponents.
So, 7^7 / 7^3 = 7^(7-3) = 7^4.
Therefore, 7 to the 7 power divided by 7 to the 3 power equals 7 to the 4 power.
To solve this problem, we can use the Product Rule of Exponents, which states that when dividing two powers with the same base, we subtract the exponents.
In this case, we have 7^7 divided by 7^3.
So, using the Product Rule of Exponents, we subtract the exponent 3 from the exponent 7:
7^7 / 7^3 = 7^(7-3)
Simplifying the expression:
7^(7-3) = 7^4
Therefore, 7 to the 7th power divided by 7 to the 3rd power is equal to 7 to the 4th power.
To use the Product Rule of Exponents, we need to have the same base. In this case, the base is 7.
According to the Product Rule of Exponents, when dividing two numbers with the same base, we subtract the exponents. So, to divide 7 to the 7th power by 7 to the 3rd power, we subtract the exponent of the divisor from the exponent of the dividend.
7 to the 7th power divided by 7 to the 3rd power can be written as:
7^7 / 7^3
Using the Product Rule of Exponents, we subtract the exponent of the divisor (3) from the exponent of the dividend (7):
7^(7-3)
Simplifying further, we get:
7^4
Therefore, 7 to the 7th power divided by 7 to the 3rd power is equal to 7 to the 4th power.