1.
Simplify: \(\left(\frac{5}{2}a^{-4}b^{7}\right)^{-3}\)
Write the answer using positive exponents.
Apply the exponent to every factor.
2.
Simplify: \(\left(\frac{x^{2}}{y^{-3}}\right)^{-2}\)
Write the answer using positive exponents.
Rewrite before applying the outside exponent.
3.
Evaluate: \(\left(\frac{4}{5}\right)^{-2}\)
Use the negative exponent rule for fractions.
Flip the fraction then square it.
4.
Evaluate: \(4^{-2}\div(-2)^{-5}\)
Simplify using negative exponent rules.
Rewrite with positive exponents.
5.
Simplify: \(\frac{(3xy^{-3})^{2}}{(2x^{2}y^{2})^{-3}}\)
Simplify using exponent laws.
Combine exponents carefully.
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