Question

Apply the property of negative integer exponents to generate an expression equivalent to five with negative power of nine over four with a negative power of 12 with positive exponents what is the answer?

Answer 1

To apply the property of negative integer exponents, we can start with the expression you mentioned: \(\frac{5^{-9}}{4^{-12}}\).

Using the rule of negative exponents, \(a^{-n} = \frac{1}{a^n}\), we can rewrite the expression with positive exponents:

\[
\frac{5^{-9}}{4^{-12}} = \frac{1}{5^9} \div \frac{1}{4^{12}} = \frac{4^{12}}{5^9}
\]

This means that the expression is equivalent to:

\[
\frac{4^{12}}{5^9}
\]

Thus, \( \frac{4^{12}}{5^9} \) is the expression equivalent to the original expression with negative exponents, rewritten using positive exponents.