Question

find the value of x [a] [4/3]^-4×[4/3]^-5=[4/3]^-3x​

Answer 1

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Answer 2

You can also refer to the attachment

Solution

${ (\frac{4}{3}) }^{ - 4} \times { (\frac{4}{3}) }^{ - 5} = { (\frac{4}{3}) }^{ - 3x} \\ \\ { (\frac{3}{4}) }^{4} \times { (\frac{3}{4}) }^{5} = { (\frac{3}{4}) }^{3x} \\ \\ {( \frac{3}{4}) }^{(5 + 4)} = { (\frac{3}{4} )}^{3x} \\ \\ {( \frac{3}{4}) }^{9} = { (\frac{3}{4}) }^{3x} \\ \\ 9 = 3x \\ \\ x = \frac{9}{3}$

$x = 3$