Question

(3²–2²)×(2/3)–³=_____​

Answer 1

Answer:

3.75

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Answer 2

$\bf ( {3}^{2} - {2}^{2} ) \times \left( { \frac{2}{3} } \right)^{ - 3} = \frac{135}{8} = 16 \frac{7}{8}$

Given:

• $( {3}^{2} - {2}^{2} ) \times \left( { \frac{2}{3} } \right)^{ - 3}$

To find:

• Find the value of expression.

Solution:

Formula to be used:

1. $\left( { \frac{a}{b} }\right)^{ - n} = \left( { \frac{b}{a} }\right)^{ n}$
2. $\left( { \frac{a}{b} }\right)^{ n} = \frac{ {a}^{n} }{ {b}^{n} }$

Step 1:

Apply formula to simplify the expression.

$( {3}^{2} - {2}^{2} ) \times \left( { \frac{2}{3} } \right)^{ - 3} = (9 - 4) \times \left( { \frac{3}{2} } \right)^{ 3}$

or

$= 5 \times \frac{ {3}^{3} }{ {2}^{3} }$

Step 2:

Simplify and solve.

$= 5 \times \frac{27 }{8 }$

or

$= \frac{135}{8}$

Thus,

$\bf ( {3}^{2} - {2}^{2} ) \times \left( { \frac{2}{3} } \right)^{ - 3} = \frac{135}{8} = 16 \frac{7}{8}$

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