tolong dijawab dengan benar.... Question from @pottahpottah424

September 2022 2 6 Report

tolong dijawab dengan benar

alfianrizky07

Penjelasan dengan langkah-langkah:

2^(¾) × 4^(⅔) : 8^(5/4)

= 2^(¾) × 2^(2 × ⅔) : 2^(3 × 5/4)

= 2^(¾) × 2^(4/3) : 2^(15/4)

= 2^(¾ + 4/3 - 15/4)

= 2^(9/12 + 16/12 - 45/12)

= 2^(25/12 - 45/12)

= 2^(-20/12)

= 2^(-5/3)

Semoga Bermanfaat

1 votes Thanks 0

ByZila

$\sf {2}^{ - \frac{5}{3} }$

atau

$\sf \frac{1}{ {2}^{ \frac{5}{3} } }$

Penjelasan dengan langkah-langkah:

$\sf = {2}^{ \frac{3}{4} } \times {4}^{ \frac{2}{3} } \div {8}^{ \frac{5}{4} }$

$\sf = {2}^{ \frac{3}{4} } \times {( {2}^{2}) }^{ \frac{2}{3} } \div {( {2}^{3}) }^{ \frac{5}{4} }$

$\sf = {2}^{ \frac{3}{4} } \times {2}^{(2 \times \frac{2}{3}) } \div {2}^{(3 \times \frac{5}{4}) }$

$\sf = {2}^{ \frac{3}{4} } \times {2}^{ \frac{4}{3} } \div {2}^{ \frac{15}{4} }$

$\sf = {2}^{( \frac{3}{4} + \frac{4}{3} - \frac{15}{4} ) }$

$\sf = {2}^{ - \frac{5}{3} }$

$\sf = \frac{1}{ {2}^{ \frac{5}{3} } }$

0 votes Thanks 0

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