Question

I NEED HELP RNNNNNNNNNN!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

Answer:

Option B is correct

$8x^8$

Step-by-step explanation:

Using the exponent rules:

$\sqrt[n]{a^n} = a$

$\sqrt[n]{a^m} = a^{\frac{m}{n}}$

Given the expression:

$64x^{16}$

We have to find the simplified form of the square root  of the given expression.

Square root  of [1] is:

$\sqrt{64x^{16}}$

We can write 64 as:

$64 = 8 \cdot 8 = 8^2$

then;

$\sqrt{8^2 \cdot x^{16}}$

Apply the exponent rules:

$8 \cdot x^{\frac{16}{2}} = 8 \cdot x^8$

⇒$8x^8$

Therefore, the simplified form of the square root of $64x^{16}$ is, $8x^8$

Answer 2

Answer:

Option B. $8x^{8}$

Step-by-step explanation:

The given expression is $\sqrt{64x^{16}} =\sqrt{8^{2}.x^{8}.x^{8}}=\sqrt{8^{2}}.\sqrt{x^{8}}.\sqrt{x^{8}}=8x^{4}.x^{4}=8x^{4+4}=8x^{8}$

Therefore the simplified form of the expression will be $8x^{8}$