Using the power rule of exponents, what is an equivalent form of the expression three with a small five on top of it and a small two what is the base and the exponent?
The expression you provided is written as 3^5^2.
To simplify this expression using the power rule of exponents, we need to evaluate the exponent 5^2 before raising 3 to that power.
Therefore, 5^2 = 25.
Now, the expression becomes 3^25.
In this expression, 3 is the base and 25 is the exponent.
The expression you've mentioned, "three with a small five on top of it and a small two," can be written as 3^52. To find an equivalent form of this expression using the power rule of exponents, we need to understand that the power rule states that when you raise a number to an exponent, and then raise that result to another exponent, you can multiply the exponents.
In this case, the base is 3, and we have two exponents: 5 and 2. To simplify, we can multiply these exponents together. Thus, an equivalent form of 3^52 is 3^(5 * 2), which simplifies to 3^10.
So, the equivalent form of the expression is 3^10, where the base is 3 and the exponent is 10.
The expression you mentioned, "three with a small five on top of it and a small two," can be written as 3^5^2.
To apply the power rule of exponents, we multiply the exponents when we have an exponent raised to another exponent. In this case, the base is 3, the first exponent is 5, and the second exponent is 2.
So, applying the power rule, the equivalent form of the given expression is 3^(5*2), which simplifies to 3^10.