Scientific Notation
Write -42,065 in scientific notation
-4.2065 x 104
Simplify:
5^3 * 5^5
5^8
Use the quotient rule for exponents to divide:
7^4 / 7^3
7
Use the power rule to simplify (leave as exponent):
(14^2)^3
14^6
Use the exponent rules to simplify:
(x^3)^2 * x^1
x^7
What is 4.5 x 10-4 in standard form?
.00045
Use the product rule for exponents to multiply:
x^3*x^2*x^7*y^4*y^3
x^12*y^7
Use the quotient rule to divide:
(k^3)/( k^2)
k
Use the power rule to simplify:
(v^3)^4
v^12
Use the exponent rules to simplify:
(x^2 * x^2) / (x^2)
x^2
Which one is greater: 4.3 x102 or 2.1 x 103?
2.1 x 103
Use the product rule for exponents to multiply:
k^7 * k
k^8
Use the quotient rule to divide:
(x^2y^5)/(xy^3)
xy^2
Use the power rule to simplify:
(2^3y^4)^3
2^9y^12
Use the exponent rules to simplify:
(2xy^3 * 3xy)^2
Use the exponent rules to simplify:
36x^4y^8
The speed of light in a vacuum is 299,792,458 meters per second. Wtten in scientific notation, what is the best approximation of the speed of light?
3 x 108
Use the product rule for exponents to multiply:
x^4 * x^3 * x^2
x^9
Use the quotient rule to simplify:
(x^2y^4)/(xy^2)
(xy^2)
Use the power rule to simplify:
(x^2y^-3)^2
x^4/y^6
Use the exponent rules to simplify:
(x^3y^4)^3*(xy^2)^2
x^11y^16
City X has a population of 3 x 105 and city Y has a population of 6 x 106. About how many times bigger is city Y to city X?
About 20 times bigger
Use the product rule for exponents to multiply:
17dq^3r^2 * 2d^3qr^3
34d^4q^4r^5
Use the quotient rule for exponents to divide:
(x^10y^9)/(x^4y^4 * x^4y^3)
(x^y^2)
Use the power rule to simplify:
(5^2yx^2)^-4
1/(5^8y^4x^8)
Use the exponent rules to simplify:
(4b^2c^3 * 3bc^5) / (6b^3c^10)
2/c^2