3 years ago

Please Answer Soon! IN LESS THAN 20 MINS!

Mathematics

1 answer:

trasher [3.6K]3 years ago

7 0

Answer:

1) 512

Step-by-step explanation:

1st multiply 2x4 and get 8, then square 8, divide by 4 to get 512

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Which system of equations below has infinitely many solutions?

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Jolene lost her wallet at the mall. It had $10 in it when she got home her brother felt bad and gave her $5.75. represent this s

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Please help with these 2 problems

HACTEHA [7]

$(\frac{16}{9})^{\frac{2}{3} }. (\frac{4}{3} ) ^{\frac{5}{3} } = \frac{16}{9}$

4ˣ⁻¹ = 49 / 4

<h3>How to simplify an expression?</h3>

The expressions can be simplified as follows;

$(\frac{16}{9})^{\frac{2}{3} }. (\frac{4}{3} ) ^{\frac{5}{3} }$

Hence,

$(\frac{16}{9})^{\frac{2}{3} }. (\frac{4}{3} ) ^{\frac{5}{3} } = (\frac{4}{3} )^{2(\frac{2}{3} )}.(\frac{4}{3} ) ^{\frac{5}{3} }$

Therefore,

$(\frac{4}{3} )^{2(\frac{2}{3} )}.(\frac{4}{3} ) ^{\frac{5}{3} } = (\frac{4}{3} )^{\frac{4}{3} } .(\frac{4}{3} )^{\frac{5}{3} }$

Finally,

$(\frac{4}{3} )^{\frac{4}{3} } .(\frac{4}{3} )^{\frac{5}{3} } = (\frac{4}{3} )^{3}$

$(\frac{4}{3} )^{3} = \frac{16}{9}$

2ˣ = 7

4ˣ⁻¹ = 2²⁽ˣ⁻¹⁾ = 2²ˣ ⁻ ² = 2²ˣ / 2² = (2ˣ)² / 2²

Therefore,

(2ˣ)² / 2² = 7² / 2² = 49 / 4

Hence,

4ˣ⁻¹ = 49 / 4

Finally, the $(\frac{16}{9})^{\frac{2}{3} }. (\frac{4}{3} ) ^{\frac{5}{3} }$ is equal to $\frac{16}{9}$ and for the second part 4ˣ⁻¹ = 49 / 4

learn more on simplification here: brainly.com/question/17513857

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