Solve (24*5^2)div(5^0*4^2)

$$(24 \times { 5 }^{ 2 } ) \div ( { 5 }^{ 0 } \times { 4 }^{ 2 } )$$

Evaluate

$$\frac{75}{2}=37.5$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{24\times 5^{2}}{4^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{24\times 25}{4^{2}}$$

Multiply 24 and 25 to get 600.

$$\frac{600}{4^{2}}$$

Calculate 4 to the power of 2 and get 16.

$$\frac{600}{16}$$

Reduce the fraction \frac{600}{16} to lowest terms by extracting and canceling out 8.

$$\frac{75}{2}$$

Factor

$$\frac{3 \cdot 5 ^ {2}}{2} = 37\frac{1}{2} = 37.5$$