What is (3^2*2^4)/(6^6) ?

The solution to (3^2*2^4)/(6^6) is 1/324

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(3^2*2^4)/(6^6)

\frac{3 ^{2} \cdot 2 ^{4}}{6 ^{6}}

\frac{1}{324}

Solution steps

\frac{3 ^{2} \cdot 2 ^{4}}{6 ^{6}}

Solve

3^{2} \cdot 2^{4} : 144

Follow the PEMDAS order of operations

Calculate exponents

3^{2} : 9

3^{2}

3^{2} = 9

= 9

= 9 \cdot 2^{4}

Calculate exponents

2^{4} : 16

2^{4}

2^{4} = 16

= 16

= 9 \cdot 16

Multiply and divide (left to right)

9 \cdot 16 : 144

9 \cdot 16

9 \cdot 16 = 144

= 144

= 144

Solve

6^{6} : 46656

6^{6} = 46656

= 46656

= \frac{144}{46656}

Cancel the common factor:

144

= \frac{1}{324}

- 2 \div 3 (- 3)

- 9 + {- 5 [- 7 - (- 3 \cdot 4)] + 6} - 4

2 - 3 + 8

9 \times 7 - (21 - 6) \div 3 + 18 \div 9 - 4

2 - \frac{3}{2}