Question

rewrite the expression $6^{0} \cdot 7^{-2} \cdot 18^{5}$ using only positive exponents.
$\frac{18^{5}}{7^{2}}$ $\frac{6 \cdot 18^{5}}{7^{2}}$ $\frac{18^{5}}{6 \cdot 7^{2}}$ $\frac{7^{2}}{18^{5}}$

Explanation:

Step1: Apply zero exponent rule

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

Step2: Apply negative exponent rule

A term with negative exponent moves to denominator: $7^{-2} = \frac{1}{7^2}$

Step3: Substitute and simplify

Substitute into original expression:
$1 \cdot \frac{1}{7^2} \cdot 18^5 = \frac{18^5}{7^2}$

Answer:

$\frac{18^5}{7^2}$ (corresponding to the first option)