Question

Simplify open parentheses x to the 3 eighths power close parentheses to the 3 fourths power.

Answer 1

x^9/32...... in other words.... x to the nine over thirty second power

Answer 2

`(x^(3)/(8))^(3)/(4)=x^(9)/(32)`

Explanation:

`(x^(3)/(8))^(3)/(4)`

To simplify it we need to use exponential property

We multiply the inside exponent with outside exponent

`(a^m)^n=a^(mn)`

Inside and outside exponents are both fractions. while multiplying fractions we multiply numerator with numerator and denominator with denominator

`(3)/(8) \cdot (3)/(4)=(9)/(32)`

We cannot simplify the fraction 9/32

`(x^(3)/(8))^(3)/(4)=x^(9)/(32)`