What is ((-2d^{11}f^5)/(4d^{-2)f^2})^2 ?

The solution to ((-2d^{11}f^5)/(4d^{-2)f^2})^2 is (d^{26}f^6)/4

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simplify ((-2d^{11}f^5)/(4d^{-2)f^2})^2

simplify

(\frac{- 2 d ^{11} f ^{5}}{4 d ^{- 2} f ^{2}})^{2}

\frac{d ^{26} f ^{6}}{4}

Solution steps

(\frac{- 2 d ^{11} f ^{5}}{4 d ^{- 2} f ^{2}})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( - 2 d ^{11} f ^{5} ) ^{2}}{( 4 d ^{- 2} f ^{2} ) ^{2}}

Simplify

(- 2 d^{11} f^{5})^{2} : 4 d^{22} f^{10}

= \frac{4 d ^{22} f ^{10}}{( 4 d ^{- 2} f ^{2} ) ^{2}}

Simplify

(4 d^{- 2} f^{2})^{2} : \frac{16 f ^{4}}{d ^{4}}

= \frac{4 d ^{22} f ^{10}}{\frac{16 f ^{4}}{d ^{4}}}

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{4 d ^{22} f ^{10} d ^{4}}{16 f ^{4}}

Cancel the common factor:

4

= \frac{d ^{22} d ^{4} f ^{10}}{4 f ^{4}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{f ^{10}}{f ^{4}} = f^{10 - 4}

= \frac{d ^{22} d ^{4} f ^{10 - 4}}{4}

Subtract the numbers:

10 - 4 = 6

= \frac{d ^{22} d ^{4} f ^{6}}{4}

d^{22} d^{4} f^{6} = d^{26} f^{6}

= \frac{d ^{26} f ^{6}}{4}

16 a^{2} - 121 b^{2}

(x - 2) (x + 3) > 0

23 < 5 (5) - 2

12 x^{2} - 5 x = 2

2 (x + 3) + 6 x = - 3

What is ((-2d^{11}f^5)/(4d^{-2)f^2})^2 ?
The solution to ((-2d^{11}f^5)/(4d^{-2)f^2})^2 is (d^{26}f^6)/4