Rules of Exponents
(-2u2)(6u6)
-12u8
Write the expression in radical form.
241/2
√24
Simplify: √56
2√14
What is the solution to 25x-3=54 ?
5
Simplify: (-5/6)0
1
p12t3r/p2tr
p10t2
Write the expression in radical form.
m2/3
3√m2
Simplify: 8xy2z5/2yz3
4xyz2
Solve for x:
25x-4 = 64
2
Simplify: 4/h-4
4h4
h3/h-6
h9
Evaluate: 5√3125
5
Simplify √169a3bc3
Solve for x:
812x-3=9x+3
3
What is 542 billion in scientific notation?
5.42 x 1011
15x6y-9/5xy-11
3x5y2
Write the expression in radical form.
k-1/2
1/√k
Simplify: √w13x5z8
w6x2z4√wx
Solve for x:
24x=32x+1
-5
The velocity of an object dropped from a tall building is given by the formula v=√64d, where d is the distance the object is dropped. What distance was the object dropped from if it has a velocity of 49 feet per second? Round your answer to the nearest hundredth.
37.52 ft
(-3x-6y-1z-2/6x-2yz-5)-2
4x8y4/z6
The relationship between the mass m in kilograms of an organism and the metabolism P in Calories per day can be represented by P=73.3 4√m3. Find the metabolism of an organism that has a mass of 16 kilograms.
586.4 Calories per day
The distance, d, in miles that a person can see to the horizon can be modeled by the formula d=√3h/2 where h is the person's height above sea level in feet. How far, in miles, to the horizon can a person see if they are 60 feet above sea level? Write you answer in simplified radical form.
3√10 miles
33x+3=6561
5/3
What is the third planet from the sun?
Earth