Question

Please answer asap will give brainliest!!!
The simplified form of an expression is 1/256t^28 Which expression was simplified?

A.(256t^-7)^4
B.(4t^28)^-4
C.(256t^-7)^-4
D.(4t^-7)^-4

Answer 1

The correct answer is D. (4t^-7)^-4.

I hope this helped!

Answer 2

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

$\dfrac{1}{(256t)^{28}}$

We need to simplify the above expression:

So, we can rewrite it as :

$(256t)^{-28}\\\\=(4^4t)^{-28}\\\\=4^4\times t^{-7\times -4}\ (\because a^{m\times n}=(a^m)^n)\\\\=(4t^{-7})}^{-4}$

Hence, Option 'D' is correct.