Rational Exponents
Simplify 6251/4
5
Simplify(25)0.6
Write your answer as a single power.
8
Write the expressions √5 / √2 in simplest form.
√10 /2
What's the parent function for the family of
square root functions?
f(x)=√x
The movie Home Alone was released in 1990. How many years has it been since its release as of this year?
35 years.
Simplify 643/2
512
Simplify the expression 131/3 ⋅ 131/6.
Write your answer as a single power.
131/2
Write the expressions 3√500 in simplest form.
5 3√4
Find the domain and range of the graph of y=3√x
Domain：All real numbers
Range：All real numbers
Santa’s sleigh is pulled by a team of 9 reindeer. How many hooves in total are landing on the roof when the whole team arrives?
36 hooves
Find the real 7th root(s) of 128.
± 2
Simplify (123 ⋅ 93)−1/3
Write your answer as a single power.
1/108
Write the expressions 15/(4－√11) in simplest form.
3(4+√11)
Find the domain and range of the graph of
y=√(2x－ 4)
Domain：x≥2
Range：y≥0
You are wrapping a cubic gift box (a cube). If each side of the box is 10 cm long, what is the total surface area of wrapping paper needed to cover the box? (Ignore overlapping)
600 cm2
Between which two consecutive integers does
4√125 lie?
3 and 4
Simplify ( 561/4÷ 81/4 )3
Write your answer as a single power.
73/4
Write the expressions 4√19 / 4√4 in simplest form.
4√76) /2
Let g(x) be a horizontal shrink by a factor of 2/3
, followed by a translation 4 units left of the graph of
f(x) = √6x. Write a rule for g(x).
g(x) = √(9x+36)
The North Pole has 52 toy factories. Each factory has 53 elves, and each elf makes 54 toys per year. Write the total number of toys produced annually as a single power.
59 toys
Solve −5 +(2x − 5)4 = 4
1/2(±4√9 +5)
Simplify 3⋅ 21/2+7⋅ 41/10+6⋅ 81/15
Write your answer as a single power.
221/5
Textbook P.243 #59
(2m 5√ 5mn3)/n2
Find the domain of the graph of
y=√(x+2)+√(x－1)+√(6－2x)
1≤ x ≤ 3
To help children around the world send letters to Santa, Canada Post created an official, dedicated Postal Code just for the North Pole. When read out loud, this postal code sounds exactly like Santa’s famous laugh. What is the code?
H0H 0H0