Question

Expand 49/64

Answer This Question Fast​

Answer 1

Answer:

7^2/8^2

(7/8)^2

Step-by-step explanation:

pls follow me

Answer 2

The expandation of $\dfrac{49}{64}$ is $(\dfrac{7}{8} )^{2}$.

Step-by-step explanation:

We have,

$\dfrac{49}{64}$

To expand $\dfrac{49}{64}=?$

∴ $\dfrac{49}{64}$

$=\dfrac{7\times 7}{8\times 8}$

$=\dfrac{7^1\times 7^1}{8^1\times 8^1}$

Using formula,

$a^m\times a^n=a^{m+n}$

$=\dfrac{7^{1+1}}{8^{1+1}}$

$=\dfrac{7^{2}}{8^{2}}$

$=(\dfrac{7}{8} )^{2}$

[ ∵ $\dfrac{m^{a}}{n^{a}} =(\dfrac{m}{n} )^{a}$]

Hence, the expandation of $\dfrac{49}{64}$ is $(\dfrac{7}{8} )^{2}$.