exponents\ndate\ndirections: complete the table below. use a calculator if necessary.\n\n| number | base |…

Explanation:

Step1: Fill row 1 exponent

For $2^3$, exponent is 3.

Step2: Fill row 2 base, expanded form

For $3^2$, base=3, expanded: $3 \times 3$.

Step3: Fill row 3 base, exponent, standard form

For $5^4$, base=5, exponent=4, standard: $5 \times 5 \times 5 \times 5 = 625$.

Step4: Fill row 4 number, expanded, standard form

Base=6, exponent=2: number=$6^2$, expanded: $6 \times 6$, standard=36.

Step5: Fill row 5 number, exponent, standard form

Expanded $8 \times 8 \times 8$: number=$8^3$, exponent=3, standard=512.

Step6: Fill row 6 number, base, exponent, standard form

Expanded $9 \times 9 \times 9 \times 9 \times 9 \times 9$: number=$9^6$, base=9, exponent=6, standard=531441.

Step7: Fill row7 base, exponent, expanded, standard form

For $10^3$: base=10, exponent=3, expanded: $10 \times 10 \times 10$, standard=1000.

Step8: Fill row8 number, exponent, expanded form

Base=7, standard=49: number=$7^2$, exponent=2, expanded: $7 \times 7$.

Step9: Fill row9 number, exponent, expanded form

Base=2, standard=16: number=$2^4$, exponent=4, expanded: $2 \times 2 \times 2 \times 2$.

Step10: Fill row10 number, base, expanded form

Exponent=3, standard=27: number=$3^3$, base=3, expanded: $3 \times 3 \times 3$.

Answer:

Number	Base	Exponent	Expanded Notation	Standard Notation
$2^3$	2	3	$2 \times 2 \times 2$	8
$3^2$	3	2	$3 \times 3$	9
$5^4$	5	4	$5 \times 5 \times 5 \times 5$	625
$6^2$	6	2	$6 \times 6$	36
$8^3$	8	3	$8 \times 8 \times 8$	512
$9^6$	9	6	$9 \times 9 \times 9 \times 9 \times 9 \times 9$	531441
$10^3$	10	3	$10 \times 10 \times 10$	1000
$7^2$	7	2	$7 \times 7$	49
$2^4$	2	4	$2 \times 2 \times 2 \times 2$	16
$3^3$	3	3	$3 \times 3 \times 3$	27