Evaluate powers with integer exponents, including zero and negative exponents, for integers, fractions, and terminating decimals, while attending to parentheses, signs, and order of operations. Apply exponent laws for products, quotients, powers of powers, products, and quotients to simplify numerical and algebraic expressions with integer exponents, including zero and negative exponents for nonzero bases. Determine exact principal square and cube roots of familiar perfect powers and estimate non-perfect square roots using nearby perfect squares, bounding values to the tenths or hundredths when appropriate.