Basic Properties of Powers
Simplify the following expression so that it contains only positive exponents.
r^3 xx r^8
r^11
Simplify the following expression so that it contains only positive exponents.
(24x^3y^-4)^0
1
Simplify the following expression so that it contains only positive exponents.
(-5k^0)^2
25
Write the following number in scientific notation.
36,000
3.6 xx 10^4
Approximately how much larger is A than B?
A) 9.3 xx 10^5
B) 1.86 xx 10^5
5 times
Simplify the following expression so that it contains only positive exponents.
j^5/j^3
j^2
Simplify the following expression so that it contains only positive exponents.
(24h^6)/(4h)
6h^5
Simplify the following expression so that it contains only positive exponents.
x^8y^-3xxx^-6y^-4
x^2/y^7
Write the following number in scientific notation.
0.00213
2.13 xx 10^-3
Approximately how much larger is A than B?
A) 9.5 xx 10^-7
B) 2.8 xx 10^-10
3,000 times
Simplify the following expression so that it contains only positive exponents.
15c^0
15
Simplify the following expression so that it contains only positive exponents.
(5a^5b)^3
125a^15b^3
Simplify the following expression so that it contains only positive exponents.
(26d^5e^3)/(13d^-1e^5)
(2d^6)/e^2
Write the following number in scientific notation.
475
4.75 xx 10^2
Approximately how much larger is A than B?
A)5.2 xx 10^8
B)1.7xx10^4
30,000 times
Simplify the following expression so that it contains only positive exponents.
n^-8
1/n^8
Simplify the following expression so that it contains only positive exponents.
-4x^2y xx 2x^5y^2
-8x^7y^3
Simplify the following expression so that it contains only positive exponents.
((-3t^2u)^4xx4t^7u^9)/(2t^5u^-8)
162t^10u^21
Write the following number in scientific notation.
625,900
6.259 xx 10^5
Approximately how much larger is A than B?
A) 6.3 xx 10^-18
B) 3.1 xx 10^-20
200 times
Simplify the following expression so that it contains only positive exponents.
1/(d^-5e)
d^5/e
Simplify the following expression so that it contains only positive exponents.
(-36j^5k^2)/(6j^2k^6)
(-6j^3)/k^4
Simplify the following expression so that it contains only positive exponents.
(-2w^3xy^-2 xx8wx^5y^-1)/(4w^6x^3y)
(-4x^3)/(w^2y^4)
Write the following number in scientific notation.
0.0000000308
3.08 xx 10^-8
Approximately how much larger is A than B?
A) 1.8 xx 10^7
B) 8.7 xx 10^2
20,000 times