Question

Simplify : 48^-2 X 64^-1/2/(24)^-1 and express in power notation with positive exponent​

Answer 1

Answer:

$\implies \: \: \: \: \: \frac{\frac{1}{2304}\times 64^{-\frac{1}{2}}}{24^{-1}}$

$\implies \: \: \: \: \frac{\frac{1}{2304}\times \left(\frac{1}{8}\right)}{24^{-1}}$

$\implies \: \: \: \: \: \frac{\frac{1}{18432}}{24^{-1}}$

$\implies \: \: \: \: \frac{\frac{1}{18432}}{\frac{1}{24}}$

$\implies \: \: \: \: \frac{1}{18432}\times 24$

$\implies \: \: \: \: \frac{1}{768}$

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Answer 2

Step-by-step explanation:

48^-2*64^-1/2 / 24^-1

1/48^2 *1/64^1/2 / 1/24

1/48^2 * 1/8^2*1/2 / 1/24

1/48^2 * 1/8 / 1/24

1 * 1 *24 / 2304 * 8

1/96*6

1/768