Using the Power Rule of Exponents, what is the exponent of (7^2)^2 in exponential simplest form if the base remains 7 is 7^4.
To find the exponent of (7^2)^2 using the Power Rule of Exponents, we need to multiply the exponents.
The Power Rule states that for any base raised to an exponent, if that entire expression is raised to another exponent, we can multiply the exponents to find the final exponent.
In this case, we have (7^2)^2. The exponent of the base 7 is 2, and we need to raise that entire expression to the power of 2.
So, we multiply the exponents: 2 * 2 = 4.
Therefore, the exponent of (7^2)^2, when simplified, is 4.
To simplify the expression (7^2)^2 using the Power Rule of Exponents, we multiply the exponents:
(7^2)^2 = 7^(2 * 2)
Since 2 * 2 = 4, the expression simplifies to:
7^4
Applying the power rule of exponents, we know that when raising a power to another power, we multiply the exponents.
In this case, we have (7^2)^2. The base is 7, and the exponent of the base is 2.
When we raise (7^2) to the power of 2, we multiply the exponents:
(7^2)^2 = 7^(2*2)
= 7^4
Therefore, the exponent of (7^2)^2 in simplest form, if the base remains 7 is 7^4.