Question

Simplify and express the answer in the positive exponent form:​
(iv)$-\frac{128}{2187}$.

Answer 1

Given ,$-\frac{128}{2187}$
Taking $128$ , we have:


$128=2\times 2\times 2\times 2\times 2\times 2\times 2=2^7$


Taking $2187$, we have :
$2187=3\times 3\times 3\times 3\times 3\times 3\times 3=3^7$

Thus, $-\frac{128}{2187}=\frac{2\times 2\times 2\times 2\times 2\times 2\times 2}{3\times 3\times 3\times 3\times 3\times 3\times 3}$

$=-\frac{2^7}{3^7}$
Hence, $-\frac{128}{2187}=-(\frac{2}{3}{)}^7$.