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

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

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

Answer

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)