Question

The value of (3/4)-3 is ------

Answer 1

Step-by-step explanation:The value of (-3)4 ÷ (-3)6 is equal to = -3²

because in divide we do subtraction

6-4 = 2.

-3 is write as it is = -3²

because -3 or -3 = -3

so, answer is -3²

Answer 2

$\displaystyle \sf{ { \bigg( \frac{3}{4} \bigg)}^{ - 3} } = \frac{64}{27}$

Given :

$\displaystyle \sf{ { \bigg( \frac{3}{4} \bigg)}^{ - 3} }$

To find :

The value of the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

$\displaystyle \sf{ { \bigg( \frac{3}{4} \bigg)}^{ - 3} }$

Step 2 of 2 :

Find the value of the expression

$\displaystyle \sf{ { \bigg( \frac{3}{4} \bigg)}^{ - 3} }$

$\displaystyle \sf{ = \frac{1}{ { \bigg( \dfrac{3}{4} \bigg)}^{3} }}$

$\displaystyle \sf{ = \frac{1}{ \dfrac{ {3}^{3} }{ {4}^{3} } }}$

$\displaystyle \sf{ = \frac{1}{ \dfrac{ 27 }{ 64} }}$

$\displaystyle \sf{ = \frac{64}{27} }$

$\displaystyle \sf{ \therefore \: \:{ \bigg( \frac{3}{4} \bigg)}^{ - 3} } = \frac{64}{27}$

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