100 First Words for Little Geeks

100 First Words for Little Geeks

Matematika help dong bang, soal no.1,
[tex] {5}^{ - 1} - {5}^{0 } [/tex]
no.2,
[tex] \frac{1}{3}^{ - 2} \div {3}^{ - 2} [/tex]
no.3,
[tex] {2}^{ - 5} \times \frac{1}{2}^{ - 8} \div {5}^{ - 2} [/tex]

help dong bang, soal no.1,
[tex] {5}^{ - 1} - {5}^{0 } [/tex]
no.2,
[tex] \frac{1}{3}^{ - 2} \div {3}^{ - 2} [/tex]
no.3,
[tex] {2}^{ - 5} \times \frac{1}{2}^{ - 8} \div {5}^{ - 2} [/tex]

No. 1

[tex] \tt = {5}^{ - 1} - {5}^{0} [/tex]

[tex] \tt = \frac{1}{5} - 1[/tex]

[tex] \tt = \frac{1}{5} - \frac{5}{5} [/tex]

[tex] \tt = - \frac{4}{5} [/tex]

No. 2

[tex] \tt = { \frac{1}{3} }^{ - 2} \div {3}^{ - 2} [/tex]

[tex] \tt = { ({3}^{ - 1}) }^{ - 2} \div {3}^{ - 2} [/tex]

[tex] \tt = {3}^{2} \div {3}^{ - 2} [/tex]

[tex] \tt = {3}^{2 - ( - 2)} [/tex]

[tex] \tt = {3}^{2 + 2} [/tex]

= 3⁴

= 81

No. 3

[tex] \tt = {2}^{ - 5} \times { \frac{1}{2} }^{ - 8} \div {5}^{ - 2} [/tex]

[tex] \tt = {2}^{ - 5} \times { ( {2}^{ - 1} )}^{ - 8} \div {5}^{ - 2} [/tex]

[tex] \tt = {2}^{ - 5} \times {2}^{8} \div {5}^{ - 2} [/tex]

[tex] \tt = {2}^{ - 5 + 8} \div {5}^{ - 2} [/tex]

[tex] \tt = {2}^{3} \div \frac{1}{ {5}^{2} } [/tex]

[tex] \tt = 8 \div \frac{1}{25} [/tex]

[tex] \tt = 8 \times \frac{25}{1} [/tex]

= 200

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