# How do you simplify #(\frac { 4x ^ { 6} y ^ { 7} } { 8x ^ { 3} } ) ^ { 4}#?

##### 1 Answer

Jun 21, 2017

#### Explanation:

**1. Distribute the exponent of 4** - multiply every exponent inside the parentheses by 4.

Remember, the numbers without exponents actually have an exponent of 1.

**2. #8^4#, which is 4096, can be rewritten as #4^6#.**

**3. Use the exponent rules to simplify.** When dividing powers with the same base, subtract the exponents.

This can be rewritten as

That's your final answer!