# n(5^2x1/25)=3

I am havein problems with this one and

(9-7)(5)=2(n)

but after i get the answer i have to tell what property it is..

2*5=2n
10=2n
10=2*5
10=10
n=5

## To solve the equation n(5^(2x1/25)) = 3, you can follow these steps:

Step 1: Simplify the exponent of 5.
Since 2x1/25 equals 2/25, we have 5^(2/25).

Step 2: Apply the exponent property.
The exponent property states that a^(m/n) equals the n-th root of a raised to the power of m. Therefore, 5^(2/25) can be rewritten as the 25th root of 5^2, which is √(5^2).

Step 3: Simplify 5^2.
5^2 equals 25.

Step 4: Simplify the equation.
n multiplied by the square root of 25 is still n multiplied by 5, so the equation becomes 5n = 3.

Step 5: Solve for n.
Divide both sides of the equation by 5 to isolate n: n = 3/5.

Now let's address the second equation:

(9 - 7)(5) = 2(n)

Step 1: Simplify the equation inside the parentheses.
9 - 7 equals 2, so the equation becomes 2(5) = 2(n).

Step 2: Simplify the left side of the equation.
2 multiplied by 5 equals 10, so the equation becomes 10 = 2(n).

Step 3: Solve for n.
Divide both sides of the equation by 2 to isolate n: n = 10/2.

The property used in this equation is the distributive property, which states that a(b + c) is equal to ab + ac. In this case, (9 - 7)(5) is equal to 9(5) - 7(5), resulting in 45 - 35.