1. Simplify: (3xy4)(-2x2y2) x3y6 xy2 -6x3y6
UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Exponential Form (Algebra 1.1)
Simplify:
(3xy4)(-2x2y2)
(A) -6x2y8
x3y6
xy2
-6x3y6

2. Simplify: (3xy4)(-2x2y2) x3y6 xy2 -6x3y6
UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Exponential Form (Algebra 1.1)
Simplify:
(3xy4)(-2x2y2)
(A) -6x2y8
x3y6
xy2
-6x3y6
We can multiply exponential expressions by adding the exponents of the like terms. (Remember: where no exponent is shown, the implied exponent is 1.)

3. -6 Simplify: (3xy4)(-2x2y2) x3y6 xy2 -6x3y6 3 x -2 = -6
UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Exponential Form (Algebra 1.1)
Simplify:
(3xy4)(-2x2y2)
(A) -6x2y8
x3y6
xy2
-6x3y6
3 x -2 = -6 -6

4. -6x3 Simplify: (3xy4)(-2x2y2) x3y6 xy2 -6x3y6 3 x -2 = -6 x1 x x2 = x3
UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Exponential Form (Algebra 1.1)
Simplify:
(3xy4)(-2x2y2)
(A) -6x2y8
x3y6
xy2
-6x3y6
3 x -2 = -6
x1 x x2 = x3
-6x3

5. -6x3y6 Simplify: (3xy4)(-2x2y2) X3y6 Xy2 -6x3y6 3 x -2 = -6
UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Exponential Form (Algebra 1.1)
Simplify:
(3xy4)(-2x2y2)
(A) -6x2y8
X3y6
Xy2
-6x3y6
3 x -2 = -6
x1 x x2 = x3
y4 x y2 = y6
The correct answer is (D).
-6x3y6

6. When -9x5 is divided by -3x3, x  0, the quotient is
UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Exponential Form (Algebra 1.1)
When -9x5 is divided by -3x3, x  0, the quotient is
27x8
-3x2
-27x15
3x2

7. 3 When -9x5 is divided by -3x3, x  0, the quotient is 27x8 -3x2
UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Exponential Form (Algebra 1.1)
When -9x5 is divided by -3x3, x  0, the quotient is
27x8
-3x2
-27x15
3x2
Let’s do this in two steps. First, divide the coefficient -9 by the coefficient This gives us a quotient of 3 (dividing a negative number by another negative number yields a positive number). 3

8. 3x2 When -9x5 is divided by -3x3, x  0, the quotient is 27x8 -3x2
UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Exponential Form (Algebra 1.1)
When -9x5 is divided by -3x3, x  0, the quotient is
27x8
-3x2
-27x15
3x2
Next, divide the exponential variable x5 by x3. Remember, to divide exponential terms with the same base, find the difference between the exponents.
This gives us x2.
3x2