Simplifying Powers
Multiple 23 x 24.
27
Rewrite √a6 using exponents.
a3
Multiply 70 x 75. What is the simplified expression?
75
Simplify 50.
1
Simplify 23 x 32.
This expression is already in its simplified-base form.
A tree grows 3 times in height the first year and 4 times in the second year. Represent the total growth as a single power of 3.
37
The cube root of b9 can be written as which power of b?
b3
Simplify 26/23 x 22.
25
Simplify 2-3.
1/8
Simplify (54 x 23)/52.
52 x 23
Simplify (56)/(52).
54
Simplify (x1/2)4.
x2
A recipe calls for (x2y3)0 teaspoons of salt. Simplify the expression.
1
3-2
Simplify (23 x 32)2.
26 x 34
A bacteria culture doubles 3 times one day and doubles 2 more times the next day. Express the total growth as a single power of 2.
25
A square rug has area y8. What is the length of one side of the rug?
y4
Simplify (32 x 3-5)3 as a single power of 3.
3-9
A small plant shrinks to half its size each day. If it starts at size 1 on day 0, what is its size on day 3?
1/8
Simplify (x2y3)2/x3y
xy5
Simplify (x4y3)2/(x3y).
x5y5
Simplify (a3/2b1/2)2.
a3b
Simplify (x4y-2)3 / (x2y).
x10y-7
Simplify (x-2y3)2.
x-4y6
A recipe calls for 23 cups of flour and 32 tablespoons of sugar. If the recipe is doubled, express the amounts as powers.
24 cups flour, 33 tablespoons sugar