Rational Numbers
Write 3/10 as a decimal.
0.3
Write 8 ⋅ 8 ⋅ 8 ⋅ 8 ⋅ 8 expression using exponent.
85
Simplify. Express using exponents.
e2 ⋅ e7
e9
Simplify. (x7)8
x56
The pull of gravity on the surface of Mars is 0.38 that of Earth. Write 0.38 as a fraction in simplest form.
19/50
Write 7/8 as a decimal.
0.875
Write 5 ⋅ 5 ⋅ 9 ⋅ 9 ⋅ 9 ⋅ 5 ⋅ 5 ⋅ 5 expression using exponent.
55 ⋅93
Simplify. Express using exponents.
2a5 ⋅ 6a5
12a10
Simplify. (4x3y7)3
64x9y21
Dedra’s dog weighs 5 ⋅ 24 pounds. What is the weight of Dedra’s dog?
80 pounds
Write -0.15 as a fraction in simplest form.
-3/20
Evaluate 33.
27
Simplify and express in exponents.
(710)/(78)
72 = 49
Simplify. (-2 a5b7c3)4
16a20b28c12
A publisher sells 106 copies of a new book. Each book has 102 pages. How many pages total are there in all of the books sold? Write the answer using exponents.
108 pages
Write 0.64 as a fraction in simplest form.
16/25
Evaluate the expression a2 + b2 if a = 5 and b = -4.
41
Simplify and express in exponents.
(15w7)/(5w3)
3w4
Simplify (-2x6y4)3
-8x18y12
The teacher marked Silvano’s problem wrong on his test.
(45)4=49
Explain what he did wrong and give the correct answer.
Silvano added the exponents instead of multiplying them. The correct answer should be 420.
Nuclear power provided 78% of the energy used in France in 2005. Write 0.78 as a fraction in simplest form.
39/50
Find the volume of a cube each of whose side is 5 inches.
125 cubic inches
Express the area of a square with sides of length 5ab as a monomial.
25a2b2
Simplify. ((22)2)2
28 = 256
Kate was given a square plot of land on which to build. If one side of the plot was (3a)3 feet long, express the area of her plot as a monomial.
((3a)3)2 = 729a5