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

**Solution:**

It is given that

4^{6} / 4^{8}

According to the multiplication rule of exponents and powers:

a^{x} × a^{y} = a^{x+y}

Therefore, we can rewrite 4^{8} = 4^{2}^{+6} = 4^{2} × 4^{6}

⇒ 4^{6}/4^{8} = 4^{6}/(4^{2} × 4^{6})

= 1/4^{2}

= 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

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