Problem 26 - College Algebra Essentials

Question

Simplify each exponential expression. $$x^{7} y^{0}$$

Step-by-Step Solution

Answer

\(x^{7}\)

Step 1: Understanding the exponential property

Any number or variable (except 0) raised to the power of 0 equals 1. This is a basic property of exponents.

Step 2: Applying the exponential property to the expression

Applying the exponent property to the expression, \(x^{7} y^{0}\), we substitute \(y^{0}\) with 1. The result is \(x^{7} \cdot 1\).

Step 3: Simplifying the expression

Any number multiplied by 1 equals the number itself. So, this simplifies to \(x^{7}\).