Question

solve this: (-3/4)^3=-27/64​

Answer 1

Answer:

0

Step-by-step explanation:

(-3/4)^3=-27/64​

(-3/4)^3=(-3/4)^3

-3/4 is same on both the side.

cancelling -3/4,power will remain only

3=3

3-3=0

0 is the answer

Answer 2

$\huge \boxed{ \fcolorbox{cyan}{grey}{Answer : }}$

$\bf \huge{ \boxed{ \underline{ \pink{ \tt{x = 3 \: }}}}}$

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$\bf \huge \underline \red{ \implies \: Question}$

$\rm{( \dfrac{3}{4}) {}^{x} = \dfrac{27}{64}}$

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$\sf \implies \underline \blue{from \: the \: question}$

$\tt \orange{➷x = ( \dfrac{3}{4}) = ( \dfrac{27}{64})}$

$\sf \pink{➷ = \frac{ (\dfrac{27}{64} )}{ (\dfrac{3}{4})} = 3}$

• then now we know the lcm of 27 and 64

$\rm{27 = {3}^{3}}$

$\rm{64 = {4}^{3}}$

then,

$\tt \purple{➷ = (\dfrac{3}{4}) {}^{x} = \dfrac{3 {}^{2} }{ {4}^{2}} }$

$\bf \underline{by \: the \: laws}$

$\tt \orange{➷ = \dfrac{3 {}^{2} }{4 {}^{2} } = (\dfrac{3}{4} {})^{3}}$

$\tt \red{➷ = (\dfrac{3}{4}) {}^{x} = (\dfrac{3}{4} {})^{3}}$

• both are same so now we get,

$\bold \orange{x = 3}$

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I hope it's help uh