# Exponents

 Any number that can be expressed as a fraction. Rational Number Any positive or negative nonrepeating or nonterminating decimal that cannot be written as a fraction. Irrational Rational or Irrational? 1.0005 Rational Rational or Irrational? -2/5 Rational Rational or Irrational? Square root of 34 Irrational. The square root of 34 is not a perfect square. Rational or Irrational? 3.14259.... IrrationalDoes not repeat or terminate Rewrite using exponents 11 x 11 x 11 x 11 x 11 = 115 Express with an exponent. 16 24 or 42 Add or subtract. 2x2 + 5x2= 7x2 Add or subtract. -k + 2k = k -7v3 + 10v3 = 3v3 (23)2= 23x2 = 26If a power is raised to another power, multiply the exponents together and keep the base the same. 24 x 25 = 24+5 = 29To multiply two expressions with the same base, add the exponents together and keep the base the same. (4a)2 = 42a2 = 16a2If a product in parentheses is raised to a power, then each factor is raised to the power when parentheses are eliminated. (3b2)3 = 33b6 = 27b6 What number makes the statment true? x5x? = x11 x6 What number makes the statement true? (y?)2 = y-8 y-4 Reduce the expression to simplest form. 5x-4 = 5/x4Negative exponent indicate reciprocals, not negative numbers. Take the x value in the numerator, which has a negative expnent, to the denominator and change the sign. (5a)-2 = 5-2a-2 = 1/52a2 = 1/25a2 (2/3)2 = 22/32 = 4/9 AuthorAChuppTeaches ID77685 Card SetExponents Description8th Grade CRCT Prep Updated2011-04-06T03:14:19Z Show Answers