Exponent Rules
Simplify the following expression:
x^3 xx x^15
x^18
Write the following with positive exponents and evaluate:
4^(-2)
1/4^2=1/16
Express in scientific notation:
65 030 000
6.503xx10^7
Simplify the following radical:
sqrt(18)
3sqrt2
In order to add radicals, which of the following must be true?
(a) The radicals must have the same index
(b) The radicals must have the same radicand
(c) The radicals must have the coefficient
(d) Both a and b
(d) Both a and b
Generally speaking, in order to multiply radicals, which of the following must be true?
(a) The radicals must have the same index
(b) The radicals must have the same radicand
(c) The radicals must have the same number outside the radical sign
(d) Both a and b
(a) The radicals must have the same index
This superhero’s alter-ego, Peter Parker, works as a freelance photographer for the Daily Bugle in New York City.
Spiderman
Simplify:
y^5/(y^2 cdot y^0)
y^3
Write the following with positive exponents:
a^-5
1/a^5
Express as an ordinary number:
8.05xx10^8
805 000 000
Simplify the radical:
sqrt54
3sqrt6
Add the following radicals: 4√3 + 2√3 + 7√3.
13√3
Multiply the following radicals: √5 x √8. Simplify if necessary.
2√10
Represented by the chemical symbol Au, this shiny yellow metal has been used for coins, jewelry, and art for thousands of years.
Gold!
Simplify the following expression:
(2x^5)^3
8x^15
Write the following with positive exponents:
a^-3/b^-4
b^4/a^3
Express as an ordinary number:
5.112xx10^-7 m
0.000 000 511 2 m
Simplify the following radical:
2\sqrt24
4sqrt6
Subtract the following radicals: 6√5 - √125.
√5
Multiply the following radicals: √42x times √2x.
2x√21
Flowing over 4,000 miles through northeastern Africa, this river is widely recognized as the longest river in the world.
The Nile
Simplify the following expression:
(3(x^2)^7)/(18x^10)
x^4/6
Write with positive expoents:
(10x^2y^-3)/z^-8
(10x^2z^8)/y^3
Evaluate. Write the answer in scientific notation:
(3.2xx10^18)/(2xx10^15)
1.6xx10^3
Simplify the following radical:
4sqrt63
12sqrt7
Add the following radicals: √8 + √98 + √72.
15√2
Multiply the following radicals using F.O.I.L.: (2 - √13)2. Simplify if necessary.
17 - 4√13
Often nicknamed the "powerhouse of the cell," this organelle is responsible for generating most of the chemical energy needed to power the cell's reactions.
Mitochondia
Simplify the following expression:
(3a^5b^-2)^2/(a^8b^-10)^3
(9b^26)/a^14
Simplify and write with only positive exponents:
(15a^5b^-3c^12)/(25a^7b^8c^-3
(3c^15)/(5a^2b^11)
Evaluate. Write the answer in scientific notation:
(4xx10^2)(8xx10^18)
3.2xx10^21
Simplify the following radical:
4root(3)(27x^3)
12x
Add/Subtract the following radicals: 7√18 + 2√25 - 3√72.
10 + 3√2
Multiply the following radicals using F.O.I.L.: (2√3 - 4)2. Simplify if necessary.
28 - 16√3
Making up about 78% of Earth's atmosphere, this chemical element comes ahead of oxygen as the most abundant gas in the air we breathe.
Nitrogen