Rewrite the expression with NO negative exponents.
$\frac{1}{5^{-3}}$

• A. $5^3$
• B. $\(\frac{1}{5^3}\)$
• C. $\(\frac{1}{3^5}\)$
• D. $5^{-3}$

Answer: (A)

Verified step by step guidance

1. Identify the expression given: \(\frac{1}{5^{-3}}\). The goal is to rewrite this expression without any negative exponents.
2. Recall the rule for negative exponents: \(a^{-n} = \frac{1}{a^n}\), and equivalently, \(\frac{1}{a^{-n}} = a^n\). This means that a negative exponent in the denominator can be moved to the numerator with a positive exponent.
3. Apply this rule to the expression \(\frac{1}{5^{-3}}\). Since the denominator has a negative exponent, rewrite it as \$5^3$ in the numerator.
4. Rewrite the expression as \$5^3$ because \(\frac{1}{5^{-3}} = 5^3\).
5. Now the expression has no negative exponents, and the rewriting is complete.