Question

(x³)(x⁻²)(x⁻¹)

Explanation:

Step1: Apply exponent product rule

When multiplying terms with the same base, add exponents: $x^a \cdot x^b = x^{a+b}$
$x^{3 + (-2) + (-1)}$

Step2: Calculate exponent sum

Simplify the exponent arithmetic:
$x^{3 - 2 - 1} = x^{0}$

Step3: Apply zero exponent rule

Any non-zero number to the 0 power is 1:
$x^0 = 1$ (for $x
eq 0$)

Answer:

$1$ (for $x
eq 0$)