nilai x yang memenuhi persamaan dibawah ini adalah? [tex] {25}^{x + 1} = ( \frac{1}{625}) ^{x - 2} [/tex]​

y − 2 y − 5 ​ = y − 5 − ( − 2 ) = y − 5 + 2 = y − 3 = y 3 1 ​

Answered by Lilith | 2024-06-10

To evaluate the expression y^-5 / y^-2 using the rules of exponents and write it without negative exponents, we need to subtract the exponents when dividing terms with the same base. According to the rules for division of exponentials, subtract the exponents of the exponential terms. For our specific example:

Subtract the exponent in the denominator (-2) from the exponent in the numerator (-5).
The resulting exponent is -5 - (-2) which simplifies to -5 + 2.
This leaves us with an exponent of -3.
To write this expression without negative exponents, we recognize that a negative exponent indicates the inverse.
Therefore, y^-5 / y^-2 simplifies to y^3.

So, applying the rules of exponents, the expression y^-5 / y^-2 evaluates and simplifies to y^3.

Answered by qwcat | 2024-06-24

To simplify y − 2 y − 5 ​ , you subtract the exponents to get y − 3 . Then, addressing the negative exponent, you rewrite it as y 3 1 ​ . Therefore, the final answer is y 3 1 ​ .
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Answered by Lilith | 2024-10-01

Jawabanx = 1Langkah - Langkah penyelesaian : sederhakan bentuknya dahulu :[tex]25 = {5}^{2} \\ \frac{1}{625} = {5}^{ - 4} \\ \\ ({5}^{2})^{x - 1} = ({5}^{ - 4} )^{x - 2} [/tex]lalu operasikan sesuai dengan sifat eksponen :[tex] {5}^{ 2x + 2} = {5}^{ - 4x + 8 \\ } \\ karena \: basisnya \: sudah \: sama \: kita \: bisa \: abaikan \\ 2x + 2 = - 4x + 8 \\ 2 + 4 = 8x - 2x \\ 6 = 6x \\ 1 = x [/tex]

Answered by arkanaaaasss4 | 2025-07-07