Penyelesaian
[tex] \sf {8}^{ \frac{2}{3} } \times {9}^{ \frac{3}{2} } [/tex]
[tex] \sf = \sqrt[3]{ {8}^{2} } \times \sqrt[2]{ {9}^{3} } [/tex]
[tex] \sf = \sqrt[3]{( 8 \times 8)} \times \sqrt{(9 \times 9 \times 9)} [/tex]
[tex] \sf = \sqrt[3]{64} \times \sqrt{(81 \times 9)} [/tex]
[tex] \sf = \sqrt[3]{64} \times \sqrt{729} [/tex]
[tex] \sf = \sqrt[3]{ {4}^{3} } \times \sqrt{ {27}^{2} } [/tex]
[tex] \sf = {4}^{ \frac{3}{3} } \times {27}^{ \frac{2}{2} } [/tex]
[tex] \sf = 4 \times 27[/tex]
[tex] \bf = 108[/tex]
Jawaban :
[tex]\sf\tiny {8}^{ \frac{2}{3} } \times {9}^{ \frac{3}{2} } = [/tex]
[tex]\sf\tiny \sqrt[{3} ]{8 {}^{2} } \times \sqrt[2]{ {9}^{3} } [/tex]
[tex] \sf\tiny\to \sqrt[3]{8 \times 8} \times \sqrt[2]{9 \times 9 \times 9} [/tex]
[tex]\sf\tiny\to \sqrt[3]{64} \times \sqrt[2]{81 \times 9} [/tex]
[tex]\sf\tiny\to \sqrt[3]{64} \times \sqrt[2]{729} [/tex]
[tex]\sf\tiny\to \sqrt[3]{4 {}^{3} } \times \sqrt[2]{ {27}^{2} } [/tex]
[tex]\sf\tiny\to {4}^{ \frac{3}{3} } \times {27}^{ \frac{2}{2} } [/tex]
[tex]\sf\tiny\to {4}^{1} \times {27}^{1} [/tex]
[tex]\sf\tiny\to 4 \times 27[/tex]
[tex]\sf\tiny\to 27 + 27 + 27 + 27[/tex]
[tex]\sf\tiny\to 54 + 27 + 27[/tex]
[tex]\sf\tiny\to 81 + 27[/tex]
[tex]\sf\tiny\to 108[/tex]
[tex]\tiny\mathbb{ - \pink M \color{lightblue}{O} \green C \color{yellow}{H} \color{red}{I}}-[/tex]
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