Apply the Property of Negative Integer Exponents to generate an expression equivalent to 5/4 raised to the −9 power −12 power with positive exponents only.(1 point)

Answer 1

To apply the property of negative integer exponents, we use the rule that states \( a^{-n} = \frac{1}{a^n} \).

Given the expression \((\frac{5}{4})^{-9 \cdot -12}\):

1. First, calculate the exponent: \[ -9 \cdot -12 = 108 \]

2. Rewrite the expression: \[ \left(\frac{5}{4}\right)^{108} \]

Since the exponent is positive now, the expression is equivalent to: \[ \frac{5^{108}}{4^{108}} \]

Thus, the final expression with positive exponents is: \[ \frac{5^{108}}{4^{108}} \]