What is ((2x^2+1)^6)/((2x+6)^6) ?

The solution to ((2x^2+1)^6)/((2x+6)^6) is ((2x^2+1)^6)/((2x+6)^6)

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simplify ((2x^2+1)^6)/((2x+6)^6)

simplify

\frac{( 2 x ^{2} + 1 ) ^{6}}{( 2 x + 6 ) ^{6}}

\frac{( 2 x ^{2} + 1 ) ^{6}}{( 2 x + 6 ) ^{6}}

Solution steps

\frac{( 2 x ^{2} + 1 ) ^{6}}{( 2 x + 6 ) ^{6}}

Apply exponent rule:

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

\frac{( 2 x ^{2} + 1 ) ^{6}}{( 2 x + 6 ) ^{6}} = (\frac{2 x ^{2} + 1}{2 x + 6})^{6}

= (\frac{2 x ^{2} + 1}{2 x + 6})^{6}

Apply exponent rule:

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

= \frac{( 2 x ^{2} + 1 ) ^{6}}{( 2 x + 6 ) ^{6}}

4 6^{2}

t e^{- 5 t}

1 \cdot e^{- 1}

(e^{θ})^{2}

e^{- a t} cos (b t)

What is ((2x^2+1)^6)/((2x+6)^6) ?
The solution to ((2x^2+1)^6)/((2x+6)^6) is ((2x^2+1)^6)/((2x+6)^6)