Question

express -2187/128 as power notation​

Answer 1

Answer:

Step-by-step explanation:

2187/128=3×3×3×3×3×3×3/2×2×2×2×2×2×2=3^7/2^7

Answer 2

The power natation of $-\dfrac{2187}{128}$ is  $-(\dfrac{3}{2})^7$.

Step-by-step explanation:

We have,

$-\dfrac{2187}{128}$

To express $-\dfrac{2187}{128}$ as power notation​ = ?

∴$-\dfrac{2187}{128}$

= $-\dfrac{3\times 3\times 3\times 3\times 3\times 3\times 3}{2\times 2\times 2\times 2\times 2\times 2\times 2}$

= $-\dfrac{3^7}{2^2}$

Using the identity,

$\dfrac{a^m}{b^m} =(\dfrac{a}{b})^m$

= $-(\dfrac{3}{2})^7$

∴ The power natation of $-\dfrac{2187}{128}$ =  $-(\dfrac{3}{2})^7$

Thus, the power natation of $-\dfrac{2187}{128}$ is  $-(\dfrac{3}{2})^7$.