Homework Week 6 Day 1

1. 6.93X107
Write each number in standard notation
When the exponent of the 10 is positive, the
decimal point goes to the right.
6.9300000000X107
You can add as much zeros as you need or you want after de last number. We
do this to move the point the number of places we need.
6.9300000
1 2 3 4 5 6 7
6.93X107 = 69300000

2. 1.2X10-5
Write each number in standard notation
When the exponent of the 10 is negative, the
decimal point goes to the left.
000000001.2
You can add as much zeros as you need or you want before the number. We
do this to move the point the number of places we need.
15 4 3 2
0.000012
1.2X10-5 = 0.000012
You move the point
5 places, and add a
zero before it.

3. -9X103
Write each number in standard notation
When the exponent of the 10 is positive, the
decimal point goes to the right.
You can add as much zeros as you need or you want after de last number. BE
CAREFUL TO ADD A DECIMAL POINT. We do this to move the
point the number of places we need.
-9.0000X103
-9X103 = 9000

4. 134138
Apply the product rule for exponents, if possible, in each case.
The numbers have the same base, 13. All
we need to do is to add the exponents.
134+8 = 1312

5. (-3w5)(9w3)
Apply the product rule for exponents, if possible, in each case.
The numbers have coefficients, -3 and 9
and the same base, w. Multiply the
coefficients and add the exponents of the
base.
(-3)(9)w5+3 = -27w8

6. r2s4 = r2s4
Apply the product rule for exponents, if possible, in each case.
Because the numbers have different base,
it is not possible to simplify the expression.
The result is the same expression.
r2s4

7. y2y3y4y2
Apply the product rule for exponents, if possible, in each case.
The numbers have the same base, y. All we
need to do is to add the exponents.
y2y3y4y2 = y2+3+4+2 = y11