Solve (t^2)^-2*(-t)^2/t^4*e

$$\frac { ( t ^ { 2 } ) ^ { - 2 } \cdot ( - t ) ^ { 2 } } { t ^ { 4 } } \cdot e$$

Evaluate

$$\frac{e}{t^{6}}$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and -2 to get -4.

$$\frac{t^{-4}\left(-t\right)^{2}}{t^{4}}e$$

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

$$\frac{\left(-t\right)^{2}}{t^{8}}e$$

Calculate -t to the power of 2 and get t^{2}.

$$\frac{t^{2}}{t^{8}}e$$

Cancel out t^{2} in both numerator and denominator.

$$\frac{1}{t^{6}}e$$

Express \frac{1}{t^{6}}e as a single fraction.

$$\frac{e}{t^{6}}$$

Expand

$$\frac{e}{t^{6}}$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and -2 to get -4.

$$\frac{t^{-4}\left(-t\right)^{2}}{t^{4}}e$$

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

$$\frac{\left(-t\right)^{2}}{t^{8}}e$$

Calculate -t to the power of 2 and get t^{2}.

$$\frac{t^{2}}{t^{8}}e$$

Cancel out t^{2} in both numerator and denominator.

$$\frac{1}{t^{6}}e$$

Express \frac{1}{t^{6}}e as a single fraction.

$$\frac{e}{t^{6}}$$