Using the Power Rule of Exponents, what is an equivalent form of the expression (3 power of 5) power of 2?
By applying the Power Rule of Exponents, we multiply the exponents:
(3^5)^2 = 3^(5 * 2) = 3^10
Base:
Exponent:
Base: 3
Exponent: 10
To find an equivalent form of the expression (3^5)^2 using the Power Rule of Exponents, we need to multiply the exponents together.
The Power Rule states that for any base "a," and exponents "m" and "n," (a^m)^n is equal to a^(m * n).
In this case, the base is 3, and the exponents are 5 and 2. So, we can rewrite the expression as:
(3^5)^2 = 3^(5 * 2)
Simplifying the exponent inside the parentheses:
3^(5 * 2) = 3^10
Therefore, an equivalent form of the expression (3^5)^2 is 3^10.
To find an equivalent form of the expression (3^5)^2 using the Power Rule of Exponents, we can apply the rule which states that when an exponent is raised to another exponent, we can multiply the exponents.
In this case, we have the expression (3^5)^2. To simplify this, we can rewrite it as 3^(5*2). By multiplying the exponents, we get 3^10.
So, an equivalent form of the expression (3^5)^2 is 3^10.