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Popular >

simplify (8s^{-3}t^{-4})^2

Solution

simplify

(8 s^{- 3} t^{- 4})^{2}

Solution

\frac{64}{s ^{6} t ^{8}}

Solution steps

(8 s^{- 3} t^{- 4})^{2}

Apply exponent rule:

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

(8 s^{- 3} t^{- 4})^{2} = 8^{2} (s^{- 3})^{2} (t^{- 4})^{2}

= 8^{2} (s^{- 3})^{2} (t^{- 4})^{2}

8^{2} = 64

= 64 (s^{- 3})^{2} (t^{- 4})^{2}

Simplify

(s^{- 3})^{2} : \frac{1}{s ^{6}}

= 64 \cdot \frac{1}{s ^{6}} (t^{- 4})^{2}

Simplify

(t^{- 4})^{2} : \frac{1}{t ^{8}}

= 64 \cdot \frac{1}{s ^{6}} \cdot \frac{1}{t ^{8}}

Simplify

64 \cdot \frac{1}{s ^{6}} \cdot \frac{1}{t ^{8}} : \frac{64}{s ^{6} t ^{8}}

= \frac{64}{s ^{6} t ^{8}}

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Frequently Asked Questions (FAQ)

What is (8s^{-3}t^{-4})^2 ?
The solution to (8s^{-3}t^{-4})^2 is (64)/(s^6t^8)