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Popular >

simplify (6f^9g^{-4})^2

Solution

simplify

(6 f^{9} g^{- 4})^{2}

Solution

\frac{36 f ^{18}}{g ^{8}}

Solution steps

(6 f^{9} g^{- 4})^{2}

Apply exponent rule:

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

(6 f^{9} g^{- 4})^{2} = 6^{2} (f^{9})^{2} (g^{- 4})^{2}

= 6^{2} (f^{9})^{2} (g^{- 4})^{2}

6^{2} = 36

= 36 (f^{9})^{2} (g^{- 4})^{2}

Simplify

(f^{9})^{2} : f^{18}

= 36 f^{18} (g^{- 4})^{2}

Simplify

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

= 36 f^{18} \frac{1}{g ^{8}}

Simplify

36 f^{18} \frac{1}{g ^{8}} : \frac{36 f ^{18}}{g ^{8}}

= \frac{36 f ^{18}}{g ^{8}}

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Frequently Asked Questions (FAQ)

What is (6f^9g^{-4})^2 ?
The solution to (6f^9g^{-4})^2 is (36f^{18})/(g^8)