Question

(256) to the power 0.6 into (256)to the power 0.09

Answer 1

Hi ,

256 = 2^8 ---( 1 )

( 256 )^0.6 × ( 256 )^0.09

= ( 256 )^0.6+0.09

= ( 256 )^0.69

= ( 2^8 )^0.69

= 2^8×0.69

= 2^5.52

I hope this helps you.

: )

Answer 2

Hey friend, Harish here.

Here is your answer:

$(256)^{0.6} \times (256)^{0.09}$

Now we know that, ( xᵃ × xᵇ ) = xᵃ⁺ᵇ.

Then,

⇒ $(256)^{0.6} \times (256)^{0.09} = (256)^{0.6+0.09}$

⇒ $(256)^{0.69}$

We know that (256) = 2⁸. 

⇒ $(2^{8})^{0.69}$

⇒ $(2)^{8\times 0.69}$

⇒  $(2)^{5.52}$
_________________________________________________

Hope my answer is helpful to you.