Product Rule
When multiplying variables, you do this to the exponents.
What is add them?
(x^4)^5
x^20
67^0
1
Convert 450,000 to scientific notation
4.5 x 10^5
Convert 0.00032 to scientific notation
3.2 x 10^-4
2x^5 * x^7
2x^12
4(y^3)^2
4y^6
7x^2 - 3x^2 + 2x^2
2x^2
Convert to standard form
5.08 x 10^2
508
Convert to standard form:
7.4 x 10^-6
0.0000074
(4f^8)(6f^4)
24f^12
(x^3y^2)^6
x^18y^12
Simplify the expression with only positive exponents:
3x^-3
1/(3x^3)
Who has a bigger population and by how much?Country A or Country B has a population of
6.5 x 10^4 or 6.7 x 10 ^ 6.
Country B by 100 times due to the difference of the exponents being
10^2 = 100
Which is smaller & why:
4.5 x 10^-4 or 4.8 x 10^-3
4.5 x 10^-4
(8r^5)(2r^-3)
16r^2
(4w^5)^2
16w^10
17x^3 - 7y^2 + w^3 - 14x^3 + 7y^2
3x^3 + w^3
Company A has made $1,084,000 while Company B has made $109,000 in the last month. About how much more did Company A make? How did you know that using scientific notation?
Company B made 10 times more, I know this because if you turn each number into scientific notation then they are separated by 10^1 and one place value exponent.
A surgical incision is and then made 10 times longer, give standard form in inch:
1.9 x 10^-2
0.19 inches
(7s^5p^3)(3s^6p^5)
21s^11p^8
(8w^3y^7)^0
1
Simplify:
(x^9)/(x^3)
x^6
Explain why this is wrong and then write each in correct scientific notation:
48.5 x 10^6
4.85 x 10^7
Order Least to Greatest
3.4 x 10^-3, 4.8 x 10^3, 5.5 x 10^3, 2.7 x 10^-3
2.7 x 10^-3, 3.4 x 10^-3, 4.8 x 10^3, 5.5 x 10^3