Question

calculate value of x(5/9)^-4×(5/9)^-5=(5/9)^3x​

Answer 1

Answer:

x = –4

Step-by-step explanation:

$\frac{5}{9}^{ - 4} \times \frac{5}{9} ^{ - 5} = \frac{5}{9} ^{3x} \\ \frac{5}{9} ^{ - 4 - 9} = \frac{5}{9}^{3x} \\ \frac{5}{9} ^{ - 12} = \frac{5}{9} ^{3x}$

When the bases are equal, the powers are equal.

$3x = - 12 \\ x = \frac{ - 12}{3} \\ x = - 4$

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