Simplify open parentheses x to the 3 eighths power close parentheses to the 3 fourths power.
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
\((x^\frac{3}{8})^\frac{3}{4}=x^\frac{9}{32}\)