Question

Find the value
of (1024)0.1​

Answer 1

1024 ^(0.1) = 2

Step-by-step explanation:

1024 ^(0.1)

= 1024 ^(1/10)

1024 = 2 * 512

= 2 * 2 * 256

= 2 * 2 * 2 * 128

= 2 * 2 * 2 * 2 * 64

= 2 *2 *2 * 2 * 2 * 32

= 2 * 2 * 2 * 2 * 2 * 2 * 16

= 2 * 2 * 2 * 2 * 2 * 2 * 2 * 8

= 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 4

= 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2

= 2¹⁰

(2¹⁰)^(1/10)

= 2¹

= 2

1024 ^(0.1) = 2

Answer 2

Answer:

The value would be 2.

Step-by-step explanation:

By the power of power property of exponent,

$(a^m)^n = a^{mn}$

Given expression,

$(1024)^{0.1}$

$=(1024)^{\frac{1}{10}}$

$=(2^{10})^{\frac{1}{10}}$

$=2^{10\times \frac{1}{10}}$

$=2^1$

= 2

Learn more :

Exponent properties,

https://brainly.in/question/11239539 ( answered by Harsh6767 )