Solve (2p^-4/p^4)^2

$$( \frac { 2 p ^ { - 4 } } { p ^ { 4 } } ) ^ { 2 }$$

Evaluate

$$\frac{4}{p^{16}}$$

Solution Steps

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

$$\left(\frac{2}{p^{8}}\right)^{2}$$

To raise \frac{2}{p^{8}} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{2^{2}}{\left(p^{8}\right)^{2}}$$

To raise a power to another power, multiply the exponents. Multiply 8 and 2 to get 16.

$$\frac{2^{2}}{p^{16}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{4}{p^{16}}$$

Expand

$$\frac{4}{p^{16}}$$

Solution Steps

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

$$\left(\frac{2}{p^{8}}\right)^{2}$$

To raise \frac{2}{p^{8}} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{2^{2}}{\left(p^{8}\right)^{2}}$$

To raise a power to another power, multiply the exponents. Multiply 8 and 2 to get 16.

$$\frac{2^{2}}{p^{16}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{4}{p^{16}}$$