Solve frac{48^2*64^-frac{1{2}}}{24^-1}

$$\frac { 48 ^ { 2 } \times 64 ^ { - \frac { 1 } { 2 } } } { 24 ^ { - 1 } }$$

Evaluate

$$6912$$

Solution Steps

Calculate 48 to the power of 2 and get 2304.

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

Calculate 64 to the power of -\frac{1}{2} and get \frac{1}{8}.

$$\frac{2304\times \frac{1}{8}}{24^{-1}}$$

Multiply 2304 and \frac{1}{8} to get 288.

$$\frac{288}{24^{-1}}$$

Calculate 24 to the power of -1 and get \frac{1}{24}.

$$\frac{288}{\frac{1}{24}}$$

Divide 288 by \frac{1}{24} by multiplying 288 by the reciprocal of \frac{1}{24}.

$$288\times 24$$

Multiply 288 and 24 to get 6912.

$$6912$$

Factor

$$2^{8}\times 3^{3}$$