I need to be shown the steps on how you derive at this answer

(5a^7 / 2b^5c)^0 = 1

ANYTHING^0 = 1

no more steps needed

here, for any old x

x^0 * x^1 = x^(1+0) = x^1
so
x^0 was 1

To derive at the answer (5a^7 / 2b^5c)^0 = 1, you can follow these steps:

Step 1: Understand the rule of exponentiation.
When any non-zero number raised to the power of zero, it equals 1. This is a fundamental property of exponents.

Step 2: Apply the exponentiation rule.
In this case, the expression (5a^7 / 2b^5c)^0 represents the entire fraction raised to the power of zero.

Step 3: Evaluate the expression.
To evaluate the expression, you simply apply the exponentiation rule stated earlier.

Since any number (except zero) raised to the power of zero is 1, the expression (5a^7 / 2b^5c)^0 simplifies to 1. Therefore, the answer is 1.