Intermediate Algebra
Simplify the expression 1x−3\(\displaystyle\]\frac{1}{x^{-3}\)} for x≠0x\(\neq\)0.
Write 0.00047 in scientific notation using a power of ten (negative exponent) and then express it as a simplified fraction.
Simplify the rational expression 3x−2y3x−5y−1\(\displaystyle\]\frac{3x^{-2}\)y^3}{x^{-5}y^{-1}} and express your answer with only positive exponents.
Simplify the algebraic fraction 2a−1b24ab−3\(\displaystyle\]\frac{2a^{-1}\)b^2}{4ab^{-3}} fully and express the result with all positive exponents.
Evaluate x−3+2x−1x^{-3} + 2x^{-1} when x=2x = 2 , and give the result as a simplified fraction.