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Popular >

simplify (s^{-2}t^2)^2

Solution

simplify

(s^{- 2} t^{2})^{2}

Solution

\frac{t ^{4}}{s ^{4}}

Solution steps

(s^{- 2} t^{2})^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(s^{- 2} t^{2})^{2} = (s^{- 2})^{2} (t^{2})^{2}

= (s^{- 2})^{2} (t^{2})^{2}

Simplify

(s^{- 2})^{2} : \frac{1}{s ^{4}}

= \frac{1}{s ^{4}} (t^{2})^{2}

Simplify

(t^{2})^{2} : t^{4}

= \frac{1}{s ^{4}} t^{4}

Simplify

\frac{1}{s ^{4}} t^{4} : \frac{t ^{4}}{s ^{4}}

= \frac{t ^{4}}{s ^{4}}

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Frequently Asked Questions (FAQ)

What is (s^{-2}t^2)^2 ?
The solution to (s^{-2}t^2)^2 is (t^4)/(s^4)