What is ((3^2)^4)/(3(3)(3^4)) ?

The solution to ((3^2)^4)/(3(3)(3^4)) is 9

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simplify ((3^2)^4)/(3(3)(3^4))

simplify

\frac{( 3 ^{2} ) ^{4}}{3 ( 3 ) ( 3 ^{4} )}

9

Solution steps

\frac{( 3 ^{2} ) ^{4}}{3 ( 3 ) ( 3 ^{4} )}

3 (3) (3^{4}) = 3 \cdot 3 \cdot 3^{4}

= \frac{( 3 ^{2} ) ^{4}}{3 \cdot 3 \cdot 3 ^{4}}

(3^{2})^{4} = 6561

= \frac{6561}{3 \cdot 3 \cdot 3 ^{4}}

Factor the number:

6561 = 3 \cdot 2187

= \frac{3 \cdot 2187}{3 \cdot 3 \cdot 3 ^{4}}

Cancel the common factor:

3

= \frac{2187}{3 \cdot 3 ^{4}}

Factor the number:

2187 = 3 \cdot 729

= \frac{3 \cdot 729}{3 \cdot 3 ^{4}}

Cancel the common factor:

3

= \frac{729}{3 ^{4}}

Factor the number:

729 = 3^{6}

= \frac{3 ^{6}}{3 ^{4}}

Apply exponent rule:

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

= 3^{6 - 4}

Subtract the numbers:

6 - 4 = 2

= 3^{2}

3^{2} = 9

= 9

(x^{0} y^{2})^{3}

(2 x - 3 y) - (3 x - 2 y)

\frac{b - 6}{4 - b ^{2}} + \frac{2}{2 b - b ^{2}}

\frac{2 tan ( x )}{1 - tan ^{2} ( x )}

(x + y + 1)^{3}