Question

If [5/12]^-4 × [5/12^3x] = [5/12]^5, then x = ?​

Answer 1

Answer:

${ (\frac{5}{12}) }^{ - 4} \times { (\frac{5}{12}) }^{3x} = { (\frac{5}{12}) }^{5} \\ \\ or \: { (\frac{5}{12} )}^{ - 4 + 3x} = {( \frac{5}{12} )}^{5} \\ \\ or \: - 4 + 3x = 5 \\ \therefore \: x = \frac{5 + 4}{3} \\ = \frac{ \cancel9 \: ^{3} }{ \cancel3} \\ \\ = 3$

$\huge{ \red{Important}} \: \: \huge{ \green{ \mathfrak{Formula}}} \\ \\ \\ \\ \huge{ {x}^{n} + {x}^{m} = {x}^{m + n} }$

The symbol '^' meaning

' to the power of '

Hope this will help you all.