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3 years ago

PLEASE SOMEONE HELP ME ON THIS thx Brainliest is available if 2 ppl answer correctly

Mathematics

1 answer:

Svetradugi [14.3K]3 years ago

6 0

Graph #1 is (1/4)^x
graph #2 is -(1/4)^x
graph #3 is 4^x
graph #4 is -4^x

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Step-by-step explanation:

Given

$(\frac{6}{10})^3 * (\frac{5}{9})^2$

Required

Solve:

$(\frac{6}{10})^3 * (\frac{5}{9})^2$

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$(\frac{6}{10})^3 * (\frac{5}{9})^2 = (\frac{3}{5})^3 * (\frac{5}{9})^2$

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$(\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{3^3}{5^3}* \frac{5^2}{(3^2)^2}$

$(\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{3^3}{5^3}* \frac{5^2}{3^4}$

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$(\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{3^3*5^2}{5^3*3^4}$

Apply law of indices:

$(\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{5^{3-2}*3^{4-3}}$

$(\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{5^1*3^1}$

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$(\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{15}$

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