Solve 0.0048/(2*10^-2)^2=

$$\frac { 0.0048 } { ( 2 \times 10 ^ { - 2 } ) ^ { 2 } } =$$

Evaluate

$$12$$

Solution Steps

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{0.0048}{\left(2\times \frac{1}{100}\right)^{2}}$$

Multiply 2 and \frac{1}{100} to get \frac{1}{50}.

$$\frac{0.0048}{\left(\frac{1}{50}\right)^{2}}$$

Calculate \frac{1}{50} to the power of 2 and get \frac{1}{2500}.

$$\frac{0.0048}{\frac{1}{2500}}$$

Divide 0.0048 by \frac{1}{2500} by multiplying 0.0048 by the reciprocal of \frac{1}{2500}.

$$0.0048\times 2500$$

Multiply 0.0048 and 2500 to get 12.

$$12$$

Factor

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