Question

8 matching 10 points
complete the table, matching the letters with the expression that shows each cube in the correct form.
rememberm 4^3 is the same as 4^3.

exponential form	expanded form	standard form
b	2·2·2	c
5^3	d	e
f	g	343
h	i	216
9^3	j	k

a

b

c

Explanation:

Step1: Calculate $4^3$

$4 \cdot 4 \cdot 4 = 64$

Step2: Find exponential form for $2\cdot2\cdot2$

$2^3$

Step3: Calculate $2^3$

$2 \cdot 2 \cdot 2 = 8$

Step4: Expand $5^3$

$5 \cdot 5 \cdot 5$

Step5: Calculate $5^3$

$5 \cdot 5 \cdot 5 = 125$

Step6: Find base for standard 343

$7^3 = 343$, so exponential form is $7^3$

Step7: Expand $7^3$

$7 \cdot 7 \cdot 7$

Step8: Find base for standard 216

$6^3 = 216$, so exponential form is $6^3$

Step9: Expand $6^3$

$6 \cdot 6 \cdot 6$

Step10: Expand $9^3$

$9 \cdot 9 \cdot 9$

Step11: Calculate $9^3$

$9 \cdot 9 \cdot 9 = 729$

Answer:

A: 64
B: $2^3$
C: 8
D: $5 \cdot 5 \cdot 5$
E: 125
F: $7^3$
G: $7 \cdot 7 \cdot 7$
H: $6^3$
I: $6 \cdot 6 \cdot 6$
J: $9 \cdot 9 \cdot 9$
K: 729