Question

Solve the equation (a/3) * 5 = a^5 for a, where one square is replaced by a tion.

a) a^5 = (a/3)^5
b) a^5 = (a/3) * 5
c) a^5 = 5 * (a/3)
d) 5 * a^5 = a/3

Answer 1

To solve the equation (a/3) * 5 = a^5 for a, distribute 5 to both terms inside the parentheses, multiply both sides by 3 to eliminate the denominator, and obtain 5a = 5a. Therefore, any value of a satisfies the equation.

Step-by-step explanation:

To solve the equation (a/3) * 5 = a^5 for a, we can start by distributing the 5 to both terms inside the parentheses: (a/3) * 5 = 5 * (a/3).

This simplifies to 5a/3 = 5(a/3).

Now, we can multiply both sides of the equation by 3 to eliminate the denominator: (5a/3) * 3 = (5(a/3)) * 3.

This gives us 5a = 5a. Since both sides are equal, any value of a will satisfy the equation.