Basic Exponent Rules
Write using a positive exponent.
m^-5
1/m^5
The population of a state was estimated to be about 38,332,521 people. Write the estimated population as a single digit times a power of 10.
4 xx 10^7
Express your answer in scientific notation.
(2.8 xx10^4)xx(4xx10^5)
1.12xx10^10
(-1/4)^-2+(5.7a^5b)^0
17
Factor the expression.
81x-27x^3
9x(9-3x^2) or -9x(-9+3x^2)
6^-4*6^-3
1/6^7
The wavelength of green light is about 0.00000051 meter. What is this estimated wavelength as a single digit times a power of 10?
5 xx 10^-7
(6xx10^9)-:(2.4xx10^3)
2.5xx10^6
Write an equivalent expression.
2/5z^5w^3*2/7z^2w^5
4/35z^7w^8
3y^2+12y
3y(y+4)
Rewrite using a positive exponent.
(3^6)^-2
1/3^12
Write 803,000,000 in scientific notation.
8.03 xx10^8
Express your answer in scientific notation.
(4.1 xx10^4)+(5.6xx10^6)
5.641xx10^6
Write an equivalent expression.
8.4m^9n^5-:2.1m^3n^5
4m^6
Factor.
15z^2-25z^5
5z^2(3-5z^3)
Write using a positive exponent.
(4/7)^-3*7^-3
1/4^3 or 1/64
Write in standard form.
1.359 xx 10^5
135,900
The population of Town A is
1.26 xx10^5
people. The population of Town B is
2.8xx10^4
people. How many times as great is the population of Town A as the population of Town B?
45 times as great
Multiply.
(3/8y+2/9)(2y)
6/8y^2+4/9y
Factor out a negative monomial factor.
-12m^4+60m
-12m(m^3-5)
Evaluate
9^8/9^11
1/729
Write 0.0000000068 in scientific notation.
6.8 xx 10^-9
The distance around Earth’s equator is
4xx10^4
km. The distance around the Moon’s equator is
6.8xx10^3
km. What is the difference between these distances?
33,200 km or
3.32xx10^4
(5.2x)(1.9x)
9.88x^2
Factor out a negative monomial factor.
-16a-52a^2
-4a(4+13a)