Question

Sederhanakan dan tentukan nilai dari

1) 5¹² × 5-⁵ × 25-³
2) 2-⁵ × 2-³
3)3 × 3⁶ × 3⁴ × -⁷
4)(5²) 1/2

TOLONG DONG KAKK AK KASII POINT BANYAK!!! YG GABISA JAWB GAUSH JAWABB! ​

Answer 1

NOMOR 1.

• [tex]{5}^{12} \times {5}^{ - 5} \times {25}^{ - 3} [/tex]
• [tex]= {5}^{12} \times {5}^{ - 5} \times {({5}^{2})}^{ - 3} [/tex]
• [tex]= {5}^{12} \times {5}^{ - 5} \times {5}^{2 \times ( - 3)} [/tex]
• [tex]= {5}^{12} \times {5}^{ - 5} \times {5}^{ - 6} [/tex]
• [tex]= {5}^{12 + ( - 5) + ( - 6)} = {5}^{1} = 5[/tex]

NOMOR 2.

• [tex]{2}^{ - 5} \times {2}^{ - 3}[/tex]
• [tex]= {2}^{( - 5) + ( - 3)} [/tex]
• [tex]= {2}^{ - 8} = \frac{1}{{2}^{8}} = \frac{1}{256} [/tex]

NOMOR 3.

• [tex]3 \times {3}^{6} \times {3}^{4} \times {3}^{ - 7} [/tex]
• [tex]= {3}^{1 + 6 + 4 + ( - 7)} = {3}^{4} = 81[/tex]

NOMOR 4.

• [tex]{({5}^{2})}^{\frac{1}{2}} = {5}^{2 \times \frac{1}{2}} = {5}^{1} = 5[/tex]

Answer 2

Penjelasan dengan langkah-langkah:

1)

[tex] = \: {5}^{12} \times {5}^{ - 5} \times {25}^{ - 3} [/tex]

[tex] = \: {5}^{12} \times {5}^{ - 5} \times { ({5}^{2} )}^{ - 3} [/tex]

[tex] = \: {5}^{12} \times {5}^{ - 5} \times {5}^{ - 6} [/tex]

[tex] = {5}^{12 - 5 - 6} [/tex]

[tex] = \: {5}^{1} [/tex]

[tex] = \bold{5}[/tex]

2)

[tex] = {2}^{ - 5} \times {2}^{ - 3} [/tex]

[tex] = {2}^{ - 5 + ( - 3)} [/tex]

[tex] = {2}^{ - 8} [/tex]

[tex] = \frac{1}{ {2}^{8} } [/tex]

[tex] = \bold{ \frac{1}{256}} [/tex]

3)

[tex] = \: {3} \: \times \: {3}^{6} \times {3}^{4} \times {3}^{ - 7} [/tex]

[tex] = {3}^{1 + 6 + 4 - 7} [/tex]

[tex] = \: {3}^{4} [/tex]

[tex] = \: \bold{81}[/tex]

4)

[tex] = \: { ({5}^{2} )}^{ \frac{1}{2} } [/tex]

[tex] = \: {5}^{( \cancel2 \times \frac{1}{ \cancel2} )} [/tex]

[tex] = \: {5}^{1} [/tex]

[tex] = \: \bold5[/tex]