Exponent Rules I
Simplify
(3a^4b^5c)^2
81a^16b^20c^4
Simplify
x^3y^0z^-2
x^3/z^2
Rewrite in radical form.
6^(1/3)
root(3)6
Simplify.
sqrt(4)
2
Simplify.
7sqrt2 - 2sqrt 2
5sqrt2
Simplify.
sqrt2(sqrt8+sqrt6)
4+2sqrt3
Simplify
(7a^4b)(8a^7b^6)
56a^11b^7
Simplify
(x^6y^2)/(x^3y)
x^3y
Rewrite in exponential form.
13root(3)(b^2)
13(b)^(2/3)
Simplify. Assume all variables are positive.
sqrt(28a^2)
2asqrt7
12sqrtr-9sqrtr
3sqrtr
Simplify.
(2sqrt3)(3sqrt15)
18sqrt5
Which expression is equivalent to
((3^2)^4)^3
a. 9^6
b. 81^6
c. 27^12
d. 9^9
B
Simplify
(a^4b^3)/(a^7b)
b^2/a^3
Solve the equation.
5^x=125
x=3
Simplify.
sqrt(300a^3)
10asqrt(3a)
Simplify.
9sqrt(6a)-11sqrt(6a)+4sqrt(6a)
2sqrt(6a)
Simplify.
sqrt((45)/(4m^4)
(3sqrt5)/(2m^2)
Simplify
3a^0
3
Simplify
((-a)^3b^4)/(a^3b^6)
-1/b^2
Solve the equation.
6^(x+3)=7776
x=2
Simplify. Assume all variables are positive.
sqrt(81g^2h^5)
9gh^2sqrth
Simplify.
5sqrt8+2sqrt20-sqrt8
8sqrt2+4sqrt5
Simplify.
sqrt(1/6)
sqrt6/6
Simplify
(3a^4b^2)^2(2a^3bc^2)^3
72a^17b^7c^6
Find the height of a rectangle with the given area and base.
area= 4x^3y^2, base = 2x^5y
(2y)/x^2
Solve the equation.
4^(3x+4)=16,384
x=1
Simplify. Assume all variables are positive.
sqrt(40x^4y^6)
2x^2y^3sqrt10
Simplify.
sqrt52+sqrt32-5sqrt13+sqrt2
5sqrt2-3sqrt13
Simplify.
3/(2-sqrt3)
6+3sqrt3