Using the power roll of exponents, what is the whole number exponents in a equivalent form of five with a small six on top they're in parentheses with a small two on top
The equivalent form of five with a small six on top and a small two on top inside parentheses can be written using the power rule of exponents as:
(5^6)^2
To answer your question, let's break down the given information step by step.
The expression you described is: (5^6)^2
To simplify this expression, we can use the power rule of exponents which states that when we have an exponent raised to another exponent, we can multiply the exponents together.
In this case, we have (5^6)^2 which means we raise 5 to the power of 6, and then raise that result to the power of 2.
To find the whole number exponents equivalent form, we multiply the exponents:
6 * 2 = 12
Hence, the equivalent form of the expression (5^6)^2 with whole number exponents is 5^12.
To represent the number 5 with a smaller 6 on top and a smaller 2 on top in parentheses, we can rewrite it using exponentiation notation. This means we'll apply the power rule of exponents.
The power rule states that if we have a number raised to two different exponents, we can simplify it by multiplying the exponents.
In this case, we have 5^(6^2). To calculate this, we start with the exponent 6^2:
6^2 = 6 * 6 = 36
Now, we can substitute this result back into our expression:
5^(6^2) = 5^36
So, the equivalent form of 5 with a smaller 6 on top and a smaller 2 on top in parentheses is 5 raised to the power of 36, which can be written as 5^36.