Sat math Essentials

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N U M B E R S A N D O P E R AT I O N S R E V I E W
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4 6

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The numerator is 1, so raise 8 to a power of 1. The denominator is 3, so take the cube root.
3
2
3
3
3
2
3
9
The numerator is 2, so raise 3 to a power of 2. The denominator is 3, so take the cube root.
Practice Question
Which of the following is equivalent to 8
2
3
?
a.
3
4
b.
3
8
c.
3
16
d.
3
64
e.
512
Answer
d.
In the exponent of 8
2
3
, the numerator is 2, so raise 8 to a power of 2. The denominator is 3, so take the
cube root;
3
8
2
3
64.
D i v i s i b i l i t y a n d F a c t o r s
Like multiplication, division can be represented in different ways. In the following examples, 3 is the 
divisor
and
12 is the 
dividend.
The result, 4, is the
quotient
.
12 
3 
4
3
12
4
1
3
2
4
Practice Question 
In which of the following equations is the divisor 15? 
a.
1
5
5
3
b.
6
1
0
5
4
c.
15
3 
5
d.
45
3 
15
e.
10 
15
0
15
Answer
b.
The divisor is the number that divides 
into
the dividend to find the quotient. In answer choices 
a
and 
c
,
15 is the dividend. In answer choices 
d
and 
e
, 15 is the quotient. Only in answer choice