Question

$\frac{487^{7}}{487^{9}}$

Explanation:

Step1: Apply exponent quotient rule

When dividing terms with the same base, subtract the exponents: $\frac{x^m}{x^n}=x^{m-n}$
$\frac{487^7}{487^9}=487^{7-9}$

Step2: Calculate the exponent

$7-9=-2$, so the expression becomes $487^{-2}$

Step3: Rewrite negative exponent as reciprocal

A negative exponent means the reciprocal of the positive exponent: $x^{-k}=\frac{1}{x^k}$
$487^{-2}=\frac{1}{487^2}$

Step4: Compute the denominator

Calculate $487^2=487\times487=237169$
$\frac{1}{487^2}=\frac{1}{237169}$

Answer:

$\frac{1}{237169}$ or $487^{-2}$