Product/Power and Quotient Rules
Simplify:
x^3y^5*x^5y^7
x^8y^12
Simplify, rewrite with a positive exponent:
x^-6
1/x^6
Write this number in scientific notation:
75,850,000,000,000
7.585 x 10^13
Multiply, write your answer in scientific notation.
(8*10^5) * (3*10^4)
2.4*10^21
(6.3*10^5)+(3.2*10^4)
6.62*10^5
Simplify:
(x^12y^15)/(x^6y^3)
x^6y^12
Simplify:
7,523^0
1
Write in scientific notation:
0.00000025
2.5 x 10^-7
Divide, write your answer in scientific notation:
(8*10^8)/(4*10^3)
2*10^5
(6.7*10^8)-(3.2*10^7)
6.38*10^8
Simplify:
(4a^3b^8)^2
16a^6b^16 or 4^2b^6b^18
Simplify, rewrite with a positive exponent:
x^5/x^8
1/x^3
Write in standard form:
2.35 x 10^8
235,000,000
Multiply, write your answer in scientific notation:
(5.2*10^4) * (3.2*10^-2)
1.664*10^3
Add, write your answer in scientific notation.
(5.5*10^-4) + (2.3*10^-5)
5.73*10^-4
Simplify:
(4a^4b^3)^4/(4a^3b^2)^2
4^2a^10b^8
Simplify:
(y^3z^5)^3/(y^9x^15
1
Write in standard form:
3.2 * 10^-4
0.00032
Divide, write your answer in scientific notation:
(1.25*10^-5)/(2.5*10^-3)
5*10^-3
Subtract, write your answer in scientific notation.
(3.75*10^-4)-(2.2*10^-2)
-1.825*10^-2
A cubed shaped box has a side length of 8n3 cm. Write an expression for the volume of the box.
(8n3)3= 83n3 = 512n3
Daily Double - Bonus Double points
Evaluate the following:
24*33*5
2,160
Bonus Double Points: You must get both write to earn all points.
525 * 10^3
410 * 10^-3
5.25*10^5
4.10*10^-1
Light travels at a speed of about 2 * 105 miles per second, if the distance around Earth is about 4 * 104 miles, how many times does light travel around Earth in one second?
This is a division problem - how many times indicates we are dividing.
(2*10^5)/(4*10^4)=.5*10^1 = 5 times