In the box you have given no 64 two times but the method of the both number and answer - Maths - Indices

Question

In the box you have given no 64 two times but the method of the
both number and answer are different Why like that?

Number
Expanded form
Exponential form
Base and exponent

10000
10 × 10 × 10 × 10
104
base 10 exponent 4

1 243
1 3 × 1 3 × 1 3 × 1 3 × 1 3
1 3 5
base 1 3 , exponent 5

64
2 × 2 × 2 × 2 × 2 × 2
26
base 2 exponent 6

64
(–2) × (–2) × (–2) ×
(–2) × (–2) × (–2)
(–2)6
base –2 exponent 6

–32
(–2) × (–2) × (–2) ×
(–2) × (–2)
(–2)5
base –2 exponent 5

Let us solve some more examples to understand the concept
better
Example 1:
Write the following in exponential form
a Minus nine to the power of six

Atul Shaw · Accepted Answer

Number	Expanded form	Exponential form	Base and exponent
10000	10 × 10 × 10 × 10	10⁴	base 10 exponent 4
$\frac{1}{243}$	$\frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3}$	${(\frac{1}{3})}^{5}$	base $\frac{1}{3},$ exponent 5
64	2 × 2 × 2 × 2 × 2 × 2	2⁶	base 2 exponent 6
64	(–2) × (–2) × (–2) × (–2) × (–2) × (–2)	(–2)⁶	base –2 exponent 6
–32	(–2) × (–2) × (–2) × (–2) × (–2)	(–2)⁵	base –2 exponent 5