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DEL
ANS
±
(
)
÷
×
7
8
9
–
4
5
6
+
1
2
3
=
0
.
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Question 1:
1 pts
Identify exponent and base in
3
2
3^2
3
2
.
e
x
p
=
3
exp =3
e
x
p
=
3
b
a
s
e
=
2
base=2
ba
se
=
2
e
x
p
=
2
exp =2
e
x
p
=
2
b
a
s
e
=
3
base=3
ba
se
=
3
Question 2:
1 pts
Is the following expression true or false?
a
⋅
a
⋅
a
⋅
a
=
4
a
a \cdot a \cdot a \cdot a = 4^a
a
⋅
a
⋅
a
⋅
a
=
4
a
Question 3:
1 pts
Write the expression using exponents:
a
⋅
a
⋅
a
⋅
b
⋅
b
a \cdot a \cdot a \cdot b \cdot b
a
⋅
a
⋅
a
⋅
b
⋅
b
3
a
⋅
2
b
3^a \cdot 2^b
3
a
⋅
2
b
a
3
⋅
2
b
a^3 \cdot 2^b
a
3
⋅
2
b
a
3
⋅
b
2
a^3 \cdot b^2
a
3
⋅
b
2
3
a
⋅
b
2
3^a \cdot b^2
3
a
⋅
b
2
Question 4:
2 pts
Is the following expression true or false?
5
2
⋅
5
3
=
5
6
5^2 \cdot 5^3 = 5^6
5
2
⋅
5
3
=
5
6
Question 5:
2 pts
Is the following expression true or false?
3
5
⋅
3
3
=
9
8
3^5 \cdot 3^3 = 9^8
3
5
⋅
3
3
=
9
8
Question 6:
2 pts
Which of the following expressions is true?
−
1
10
=
1
-1^{10} = 1
−
1
10
=
1
−
(
−
1
)
11
=
−
1
-(-1)^{11} = -1
−
(
−
1
)
11
=
−
1
(
−
1
)
4
=
−
1
(-1)^4=-1
(
−
1
)
4
=
−
1
−
(
−
1
)
12
=
−
1
-(-1)^{12} = -1
−
(
−
1
)
12
=
−
1
Question 7:
2 pts
Simplify expression
a
2
⋅
b
3
⋅
a
3
⋅
b
a^2 \cdot b^3 \cdot a^3 \cdot b
a
2
⋅
b
3
⋅
a
3
⋅
b
a
5
⋅
b
4
a^5 \cdot b^4
a
5
⋅
b
4
a
6
⋅
b
3
a^6 \cdot b^3
a
6
⋅
b
3
a
6
⋅
b
4
a^6 \cdot b^4
a
6
⋅
b
4
a
5
⋅
b
3
a^5 \cdot b^3
a
5
⋅
b
3
Question 8:
2 pts
Is the following expression true or false?
323
1
0
=
1
3231^0 = 1
323
1
0
=
1
Question 9:
2 pts
Which of the following expressions is true?
−
6
0
=
1
-6^0=1
−
6
0
=
1
0
0
=
1
0^0=1
0
0
=
1
(
−
6
)
0
=
0
(-6)^0=0
(
−
6
)
0
=
0
(
−
6
)
0
=
1
(-6)^0=1
(
−
6
)
0
=
1
Question 10:
2 pts
Simplify expression
a
9
a
3
\frac{a^9}{a^3}
a
3
a
9
a
6
a^6
a
6
a
12
a^{12}
a
12
a
3
a^3
a
3
Question 11:
2 pts
Is the following expression true or false?
(
a
3
)
2
=
a
5
(a^3)^2=a^5
(
a
3
)
2
=
a
5
Question 12:
3 pts
Simplify expression
(
2
4
)
3
(
2
2
)
5
.
\frac{(2^4)^3}{(2^2)^5}.
(
2
2
)
5
(
2
4
)
3
.
1
4
\frac14
4
1
−
4
-4
−
4
4
4
4
−
1
4
-\frac14
−
4
1
Question 13:
3 pts
Simplify expression
a
7
(
b
3
)
2
(
a
2
)
3
b
5
.
\frac{a^7(b^3)^2}{(a^2)^3b^5}.
(
a
2
)
3
b
5
a
7
(
b
3
)
2
.
a
b
ab
ab
a
b
\frac{a}{b}
b
a
b
a
\frac{b}{a}
a
b
a
2
b
a^2b
a
2
b
Question 14:
3 pts
Simplify expression
9
12
⋅
3
7
2
7
6
⋅
3
10
\frac{9^{12} \cdot 3^7}{27^6 \cdot 3^{10}}
2
7
6
⋅
3
10
9
12
⋅
3
7
3
3
3
9
9
9
27
27
27
81
81
81
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Pre-algebra
Polynomials
Linear equations
Quadratic equations
Radicals
Exponents and Logarithms
Trigonometry
Algebra 2
Geometry
Solid Figures
Exponents
Positive exponents test
Negative exponents test
Scientific notation test
Rational exponents test
Logarithms
Logarithm definition
Basic properties of Logarithms
Basic logarithms identities
Logarithmic properties
Graphs of logarithmic functions
