The side of a square is Three raised to the five halves power inches. Using the area formula A = s2, determine the area of the square. This is the side of the square in fraction(3^5/2)
A = 9 square inches
A = 15 square inches
A = 225 square inches
A = 243 square inches
PLS HELP ME
A = (3)^5/2 * (3)^5/2 = (3)^10/2 = 3^5 =
243 in^2.
Thanks for helping me.
21
To determine the area of the square, we need to use the given formula A = s^2, where A represents the area and s represents the length of one side of the square.
In this case, the length of one side of the square is 3^(5/2) inches. To simplify this expression, we need to remember the exponent rule for fractional exponents:
a^(m/n) = (n√a)^m
Applying this rule, we can simplify 3^(5/2) as follows:
3^(5/2) = (√3)^5
= (3^(1/2))^5
= 3^(1/2 * 5)
= 3^(5/2)
Now that we have the simplified expression for the side length of the square, we can calculate the area:
A = (3^(5/2))^2
To simplify further, we apply the exponent rule for exponents of exponents:
(a^m)^n = a^(m * n)
Using this rule, we can simplify the expression:
A = (3^(5/2))^2
= 3^(5/2 * 2)
= 3^5
= 243
Therefore, the area of the square is 243 square inches.