Question

(8³)² ÷ (2⁶ X 2¹⁰) : Evaluate.

Answer 1

here's ur answer hope it helps u out...

Answer 2

Answer:

(8³)² ÷ (2⁶ x 2¹⁰) = $2^{2} = 4$

Step-by-step explanation:

In the question,

We have been provided the equation,

(8³)² ÷ (2⁶ x 2¹⁰)

Now,

On simplifying the above written equation with the use of BODMAS rule we get,

$\frac{(8^{3})^{2}}{2^{6}\times 2^{10}}$

So, on solving the equation further,

Also,

We know that the numbers having same bases on multiplying adds their power.

So,

$\frac{(8^{3})^{2}}{2^{6}\times 2^{10}}=\frac{8^{6}}{2^{16}}=\frac{2^{18}}{2^{16}}=2^{18-16}\\So,\\2^{18-16}=2^{2} = 4$

Therefore, the simplified value of the given term is given by,

$2^{2} = 4$

So,

(8³)² ÷ (2⁶ x 2¹⁰) = $2^{2} = 4$.