UNIT 1 RATIONAL NUMBERS EXPONENTS AND SQUARE ROOTS

UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Exponential Form (Algebra 1. 1) 1. Simplify: (3 xy 4)(-2 x 2 y 2) (A) -6 x 2 y 8 (B) x 3 y 6 (C) xy 2 (D) -6 x 3 y 6

UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Exponential Form (Algebra 1. 1) 1. Simplify: (3 xy 4)(-2 x 2 y 2) (A) -6 x 2 y 8 (B) x 3 y 6 (C) xy 2 (D) -6 x 3 y 6 • We can multiply exponential expressions by adding the exponents of the like terms. (Remember: where no exponent is shown, the implied exponent is 1. )

UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Exponential Form (Algebra 1. 1) 1. Simplify: 3 x -2 = -6 (3 xy 4)(-2 x 2 y 2) (A) -6 x 2 y 8 (B) x 3 y 6 (C) xy 2 (D) -6 x 3 y 6 -6

UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Exponential Form (Algebra 1. 1) 1. Simplify: (3 xy 4)(-2 x 2 y 2) (A) 3 x -2 = -6 x 1 x x 2 = x 3 -6 x 2 y 8 (B) x 3 y 6 (C) xy 2 (D) -6 x 3 y 6 -6 x 3

UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Exponential Form (Algebra 1. 1) 1. Simplify: (3 xy 4)(-2 x 2 y 2) 3 x -2 = -6 x 1 x x 2 = x 3 y 4 x y 2 = y 6 (A) -6 x 2 y 8 (B) X 3 y 6 The correct answer is (D). (C) Xy 2 (D) -6 x 3 y 6

UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Exponential Form (Algebra 1. 1) 2. When -9 x 5 is divided by -3 x 3, x 0, the quotient is (A) 27 x 8 (B) -3 x 2 (C) -27 x 15 (D) 3 x 2

UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Exponential Form (Algebra 1. 1) 2. When -9 x 5 is divided by -3 x 3, x 0, the quotient is (A) 27 x 8 (B) -3 x 2 (C) -27 x 15 Let’s do this in two steps. First, divide the coefficient -9 by the coefficient -3. This gives us a quotient of 3 (dividing a negative number by another negative number yields a positive number). (D) 3 x 2 3

UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Exponential Form (Algebra 1. 1) 2. When -9 x 5 is divided by -3 x 3, x 0, the quotient is (A) 27 x 8 (B) -3 x 2 (C) -27 x 15 Next, divide the exponential variable x 5 by x 3. Remember, to divide exponential terms with the same base, find the difference between the exponents. This gives us x 2. (D) 3 x 2