Using the power rule of exponents, what is the whole number exponent and an equivalent form of in parentheses two what a small seven on top and another small four outside of the parentheses
The power rule of exponents states that when you have a power raised to another exponent, you can multiply the exponents.
In this case, the whole number exponent is 7, the exponent inside the parentheses is 2, and the exponent outside of the parentheses is 4.
Using the power rule, we can multiply the exponents:
(2^7)^4
Simplifying further:
2^(7*4)
2^28
To rewrite the expression in an equivalent form using the power rule of exponents, we'll follow these steps:
Step 1: Rewrite the expression using the power rule of exponents:
(2^7)^4
Step 2: Apply the power rule of exponents by multiplying the exponents:
2^(7*4)
Step 3: Simplify the exponent:
2^28
Therefore, the whole number exponent is 28, and the equivalent form is 2^28.
To use the power rule of exponents, we need to know the specific rule. In this case, the power rule states that when you have a power of a power, you multiply the exponents.
Let's break down the given expression to understand it better:
The exponent in the parentheses, 7, represents the power to which the base inside the parentheses is raised. Similarly, the exponent outside the parentheses, 4, represents the power to which the entire expression inside the parentheses is raised.
To simplify this expression, we can apply the power rule:
First, raise the base inside the parentheses, 2, to the power of 7: 2^7 = 128.
Next, take the result, 128, and raise it to the power of 4: 128^4.
Therefore, the whole number exponent is 4, and an equivalent form of the expression is 128^4.