Question

simplify (256) raised power -4 -3. 2

Answer 1

here is your answer...
2^48
hope this helps you....

Answer 2

Answer:

$(256)^{-(4^{-\frac{3}{2}})}=2^{48}$

Step-by-step explanation:

Given Exponent , $(256)^{-(4^{-\frac{3}{2}})}$

we have to simplify it.

We use the result, $(x^a)^b=x^{a\times b}$

Consider,

$(256)^{-(4^{-\frac{3}{2}})}$

$\implies(256)^{-(4\times(-\frac{3}{2}))}$

$\implies(256)^{2\times3}$

$\implies(256)^6$

$\implies(2^8)^6$

$\implies2^{8\times6}$

$\implies2^{48}$

Therefore, $(256)^{-(4^{-\frac{3}{2}})}=2^{48}$