Equivalent Expressions with Exponents
2^5 x 2^3 =
2^8
3^-3 =
1/(3^3)
Write the following in scientific notation:
0.000056
5.6 x
10^-5
Write the following in standard form:
4.254 x
10^-3
0.004254
Cannon had 1.2 x 10^2 tackles last night at practice. Eli had 1.4 x 10^2 tackles. How many tackles in all did they have?
120 + 140 = 2.6 x 10^2
12^2 =
144
1,200^0
1
4^-6 =
1/(4^6)
Write the following in scientific notation:
1,230,000
1.23 x
10^6
Write the following in standard form:
6.83 x
10^4
68,300
Lydia hit 2.2 x 10^2 softballs last night. Gabby B smacked 1.7 x 10^2 . How many more softballs did Lydia hit? (In scientific notation)
220 - 170 = 50 (5 x 10^1 )
3^5 =
243
6^4 x6^-2
6^2 = 36
2^-2 x 2^4
2^2 = 4
Write the following in scientific notation:
0.00214
2.14 x
10^-3
Write the following in standard form:
1.98 x
10^8
198,000,000
Gabby M and Joseph collect Pokemon cards. She has 2.7 x 10^3 cards; whereas he has 4.05 x 10^4 cards. How many times more cards does Joseph have?
40500/2700 = 15 or 1.5 x 10^1 times more cards
4^-3 =
1/(4^3) or 0.015625
6^8/6^4
6^4
3^3 / 3^-2 =
3^5 = 243
Write the following in scientific notation:
3,792,000,000
3.792 x
10^9
Write the following in standard form:
2.54 x
10^-1
0.254
There are 258,300,000 adults in the U.S. Each has approximately 3.2 x 10^1 teeth for each adult. About how many adult teeth are there in the U.S.?
8.256 x 10^9 adult teeth
6^-3 =
1/(6^3) or 0.00462963
9^7x9^2
9^9
4^2 + 4^-4 =
4^-2 = 1/4^2
Write the following in scientific notation:
6.53
6.53 x
10^0
10^2
Write the following in standard form:
3.2 x
320
The average US household pays 6.6 x 10^3 in utility bills each year. Of that, 2.0 x 10^3 is spent on electricity and 1.0 x 10^2 on water. After paying the electricity and water portions, how much is left on the average utility bill?
4.5 x 10^3 dollars
18,000^0
1