Yg tau jawabannya tolong kasi tau + caranya. terimakasih
(B). 3,00
PEMBAHASAN :
[tex]{(7 \sqrt{7})}^{ \frac{2}{3} } - {( \frac{1}{2} \sqrt{2})}^{ - 4} [/tex]
[tex]= {({7 \times 7}^{ \frac{1}{2}})}^{ \frac{2}{3} } - {( \frac{ \sqrt{2} }{2})}^{ - 4} [/tex]
[tex] = {({7}^{1 + \frac{1}{2} }) }^{ \frac{2}{3} } - {( \frac{2}{ \sqrt{2} })}^{4} [/tex]
[tex] = {({7}^{ \frac{3}{2} }) }^{ \frac{2}{3} } - {( \frac{2}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} })}^{4} [/tex]
[tex]= ({7}^{ \frac{3}{2} \times \frac{2}{3} }) - {( \frac{2 \sqrt{2} }{2})}^{4} [/tex]
[tex] = 7 - {( \sqrt{2})}^{4} [/tex]
[tex] = 7 - {({2}^{ \frac{1}{2} } )}^{4} [/tex]
[tex] = 7 - ( {2}^{ \frac{1}{2} \times 4 } )[/tex]
[tex] = 7 - {2}^{2} [/tex]
[tex] = 7 - 4[/tex]
[tex] = 3[/tex]
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