Apply the Power Rule of Exponents to simplify (4^2)^2 as a whole number.(1 point)

3 answers

According to the power rule of exponents, when we have a power raised to another power, we multiply the exponents.

So in this case, we can simplify (4^2)^2 as 4^(2*2).

This becomes 4^4, which can be further simplified as 4 * 4 * 4 * 4.

Therefore, (4^2)^2 simplifies to 256 as a whole number.
Apply the Power Rule of Exponents to simplify (4^2)^3 as a whole number.
To simplify the expression (4^2)^3 using the Power Rule of Exponents, we multiply the exponents together.

First, we simplify the exponent inside the parentheses: 4^2 = 16.

Next, we raise 16 to the power of 3: 16^3 = 4096.

Therefore, (4^2)^3 simplifies to the whole number 4096.