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Verified Answer :

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

Answer

\((x^\frac{3}{8})^\frac{3}{4}=x^\frac{9}{32}\)

Step-by-step explanation:

\((x^\frac{3}{8})^\frac{3}{4}\)

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

\(\frac{3}{8} \cdot \frac{3}{4}=\frac{9}{32}\)

We cannot simplify the fraction 9/32

\((x^\frac{3}{8})^\frac{3}{4}=x^\frac{9}{32}\)