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-BARSIC- [3]
3 years ago
9

HELP ASAP I WILL GIVE U BRAINLIEST

Mathematics
2 answers:
WINSTONCH [101]3 years ago
6 0

Answer: the answer is probably b theoreticaly

Step-by-step explanation:

fredd [130]3 years ago
4 0

Answer:

The final answer is \frac{8}{27} .

Step-by-step explanation:

Solve the following equation:

(2^{2} \cdot 3^{-1} \cdot 4^{-1})^{-1} \over 2^{-3} \cdot 3^{4}

-Simplify 2^{2} :

(2^{2} \cdot 3^{-1} \cdot 4^{-1})^{-1} \over 2^{-3} \cdot 3^{4}

(4 \times 3^{-1} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}

-Simplify 3^{-1} :

(4 \times 3^{-1} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}

(4 \times( \frac{1}{3}) \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}

-Multiply both 4 and \frac{1}{3} :

(4 \times( \frac{1}{3}) \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}

(\frac{4}{3} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}

-Simplify 4^{-1} :

(\frac{4}{3} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}

(\frac{4}{3} \times (\frac{1}{4}) )^{-1} \over 2^{-3} \times 3^{4}

-Multiply both \frac{4}{3} and \frac{1}{4} together:

(\frac{4}{3} \times (\frac{1}{4}) )^{-1} \over 2^{-3} \times 3^{4}

(\frac{1}{3})^{-1} \over 2^{-3} \times 3^{4}

-Simplify \frac{1}{3}^{-1} :

(\frac{1}{3})^{-1} \over 2^{-3} \times 3^{4}

3 \over 2^{-3} \times 3^{4}

-Then, on the denominator,  simplify 2^{-3} :

3 \over 2^{-3} \times 3^{4}

3 \over \frac{1}{8}  \times 3^{4}

Simplify 3^{4} :

3 \over \frac{1}{8}  \times 3^{4}

3 \over \frac{1}{8}  \times 81

Multiply both \frac{1}{8} and 81 together:

3 \over \frac{1}{8}  \times 81

3 \over \frac{81}{8}

Divide 3 and \frac{81}{8} by multiplying 3 by the reciprocal of \frac{81}{8} :

3 \over \frac{81}{8}

3 \times (\frac{81}{8})

-And you multiply 3 and \frac{81}{8} together:

3 \times (\frac{81}{8})

\frac{8}{27}

So, the final answer would be \frac{8}{27} .

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