Question

1. evaluate the expression.

(6^0)(6^3)(6^{-4})
type a response

Explanation:

Step1: Apply zero exponent rule

Any non-zero number to the power of 0 is 1.
$6^0 = 1$

Step2: Add exponents (product rule)

For same base $a^m \times a^n = a^{m+n}$.
$6^0 \times 6^3 \times 6^{-4} = 6^{0+3+(-4)}$

Step3: Simplify the exponent

Calculate the sum of exponents.
$6^{0+3-4} = 6^{-1}$

Step4: Rewrite negative exponent

A negative exponent means reciprocal: $a^{-n} = \frac{1}{a^n}$.
$6^{-1} = \frac{1}{6}$

Answer:

$\frac{1}{6}$