Question

If a = (2/5)2 ÷ (9/5)0 find the value of a-3.

Answer 1

$\bf a - 3 = \frac{ - 71}{25}$

Given:

• If $a = \left( { \frac{2}{5} } \right)^{2} \div \left( { \frac{9}{5} } \right)^{0}$

To find:

• Find the value of a-3.

Solution:

Concept/formula to be used:

1. ${p}^{0} = 1$
2. $\left( { \frac{a}{b} } \right)^{2} = \frac{ {a}^{2} }{ {b}^{2} }$

Step 1:

Write the equation in simpliest form.

$a = \left( { \frac{2}{5} } \right)^{2} \div 1$

or

$a = \left( { \frac{2}{5} } \right)^{2}$

or

$\bf a = \frac{4}{25}$

Step 2:

Find the value of a-3.

$a - 3 = \frac{4}{25} - 3$

or

$a - 3 = \frac{4 - 75}{25}$

or

$a - 3 = \frac{ - 71}{25}$

Thus,

The value of a-3 is -71/25.

#SPJ3

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