Question

find x : (-5/9 )¹⁴ × (-5/9) –^5 =(-5/9)^2x+3​

Answer 1

Answer:

x = 3

Step-by-step explanation:

${( \frac{ - 5}{9} )}^{14} \times {( \frac{ - 5}{9} )}^{ - 5} = {( \frac{ - }{9} )}^{2x + 3}$

When bases are same in multiplication, we can add the powers

${( \frac{ - 5}{9} )}^{14 + ( - 5)} = {( \frac{ - 5}{9} )}^{2x + 3}$

${( \frac{ - 5}{9} )}^{9} = {( \frac{ - 5}{9} )}^{2x + 3}$

Since the bases are same, we can equate the powers.

$9 = 2x \: + \: 3$

$2x \: + \: 3 = 9$

$2x = 9 \: - \: 3$

$2x = 6$

$x = \frac{6}{2}$

$x = 3$

Hope this helps

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