Question

compute 2÷3whole power 4×27÷8whole power 2
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Answer 1

Step-by-step explanation:

$(\frac{2}{3})^{2}$× $(\frac{27}{8})^{2}$

= $(\frac{2}{3})^{2}$× $[(\frac{3}{2})^{3}]^{2}$

= $(\frac{2}{3})^{2}$× $(\frac{3}{2})^{3×2}$

= $(\frac{2}{3})^{2}$× $(\frac{3}{2})^{6}$

= $(\frac{2}{3})^{2}$× $(\frac{2}{3})^{-6}$

= $(\frac{2}{3})^{2-6}$

= $(\frac{2}{3})^{-4}$

= $(\frac{3}{2})^{4}$

= $\frac{81}{16}$

Answer 2

Answer:

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