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Choose an equivalent expression for three-fourths raised to the fourth power times three-fourths raised to the third power, all raised to the second power.

Correct answer:

x =  0.0178

Step-by-step explanation:

$$\begin{gathered} a={\frac{3}{4}}^4=\frac{81}{256}\doteq 0.3164 \\ b={\frac{3}{4}}^3=\frac{27}{64}\doteq 0.4219 \\ c=a\cdot b=\frac{81}{256}\cdot \frac{27}{64}=\frac{81\cdot 27}{256\cdot 64}=\frac{2187}{16384}\doteq 0.1335 \\ x=c^2=0.1335^2=0.0178 \end{gathered}$$

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