What is the value of 4 to the power of 6 over 4 to the power of 8?

Solution:

It is given that

4⁶ / 4⁸

According to the multiplication rule of exponents and powers:

a^x × a^y = a^x+y 

Therefore, we can rewrite 4⁸ = 4²⁺⁶  = 4² × 4⁶ 

⇒ 4⁶/4⁸  = 4⁶/(4² × 4⁶)

= 1/4² 

= 1/16

= 0.0625

Therefore, the value is 0.0625.

What is the value of 4 to the power of 6 over 4 to the power of 8?

Summary:

The value of 4 to the power of 6 over 4 to the power of 8 is 0.0625