Exponents
More Exponents
Powers of 10 and Scientific Notation
Rational Exponents
Polynomials
100
Simplify (–5)^-2 ***the ^ means exponent, "negative 5 negatively squared"
1/25
100
6^7 ÷ 6^5
6^2
100
Find the value of 10^–3 and 10^7
.010 and 10,000,000
100
Simplify 27^1/3
3
100
Add 3m^3 + 8m^3 – 3 + m^3 – 2m^2 Put in STANDARD FORM
12m^3 – 2m^2 + –3
200
Simplify s^-3/t^-5 "s negatively cubed divided by t to the negative 5th power
t^5/s^3 "t to the negative 5th power divided by s negatively cubed"
200
2^3 • 2^5 • 2^0
2^8
200
Write 0.001 and 1,000,000,000 as a power of 10
10^–3 and 10^9
200
Simplify 64^1/2 + 27^1/3
11
200
Subtract (–r^2 + 8pr – p) – (–12r^2 – 2pr + 8p)
11r^2 + 10pr – 9p
300
r^–3 • r^4 • s–4
r/s^4
300
(a^2 b^4)^2 • (a^–2 b^3)^–1 • a^4
a^10 b^5
300
Find the value of 52.8 x 10^6
52,800,000
300
Simplify 16^3/4
8
300
Multiply (6m^4)(8m^2)
48m^6
400
Simplify (a^–2)^–3 • (a^5)^2
a^16
400
(2/3)^–3
27/8
400
Find the value of 22.81 x 10^–6
.00002281
400
Simplify √(x^4y^12)
x^2 y^6
400
Multiply 2x(3x – 4)
6x^2 – 8x
500
(x^4)^2 ÷ (x^3)^5
1/x^7
500
(3a/2b)^–4
16b^4/81a^4
500
Write 6,560,000 and 0.00203 in scientific notation
6.56 x 10^6 and 2.03 x 10^–3
500
Simplify (x^1/2)^4 •√x^6
x^5
500
Multiply (2x +5)(x +6) Hint: Use FOIL
2x^2 + 17x + 30