100 Most Beautiful Secret Areas in China

100 Most Beautiful Secret Areas in China

Matematika nyatakan perpangkatan berikut ini dalam bantuk paling sederhana.
a.4×3⁴+5×3⁴
b.(3²)⁵×3⁵
c.(-125)×(-5)⁶

mohon bantuannya
terimakasih ​

nyatakan perpangkatan berikut ini dalam bantuk paling sederhana.
a.4×3⁴+5×3⁴
b.(3²)⁵×3⁵
c.(-125)×(-5)⁶

mohon bantuannya
terimakasih ​

Jawaban:

a. 3⁶

b. 3¹⁵

c. (-5)⁹

Penjelasan dengan langkah-langkah:

a.

[tex]4 \times {3}^{4} + 5 \times {3}^{4} \\ = {3}^{4} \times (4 + 5) \\ = {3}^{4} \times 9 \\ = {3}^{4} \times {3}^{2} \\ = {3}^{4 + 2} \\ = {3}^{6} [/tex]

b.

[tex] {( {3}^{2}) }^{5} \times {3}^{5} \\ = {3}^{(2 \times 5)} \times {3}^{5} \\ {3}^{10} \times {3}^{5} \\ = {3}^{10 + 5} \\ = {3}^{15} [/tex]

c.

[tex]( - 125) \times {( - 5)}^{6} \\ = { (- 5)}^{3} \times {( - 5)}^{6} \\ = {( - 5)}^{3 + 6} \\ = {( - 5)}^{9} [/tex]

Jawaban:

a. 4×3⁴+5×3⁴ = (4 + 5) x 3⁴

= 9 x 3⁴

= 3² x 3⁴

= 3 ²+⁴

= 3⁶

b.(3²)⁵×3⁵ = 3¹⁰ x 3⁵

= 3 ¹⁰+⁵

= 3 ¹⁵

c.(-125)×(-5)⁶ = (-5)³ x (-5)⁶

= (-5) ³+⁶

= (-5)⁹

-5⁹

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