Question

simplify. do not use negative exponents in the answer.
25m⁻²

Explanation:

Step1: Recall the negative exponent rule

The rule for negative exponents is \( a^{-n} = \frac{1}{a^{n}} \) (where \( a
eq 0 \) and \( n \) is a positive integer). For the term \( 25m^{-2} \), we apply this rule to the variable part with the negative exponent.

Step2: Apply the negative exponent rule to \( m^{-2} \)

Using the rule \( a^{-n}=\frac{1}{a^{n}} \), for \( a = m \) and \( n = 2 \), we have \( m^{-2}=\frac{1}{m^{2}} \). Then, multiplying this by the coefficient 25, we get \( 25\times\frac{1}{m^{2}}=\frac{25}{m^{2}} \).

Answer:

\(\frac{25}{m^{2}}\)