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

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

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