Question

evaluate:(2-¹+3-¹+5-¹)°​

Answer 1

Answer:

Step-by-step explanation:

Answer is 1 coz anything raised to the power 0 is 1

Answer 2

$\displaystyle \sf{ {( {2}^{ - 1} + {3}^{ - 1} + {5}^{ - 1} )}^{0} } = 1$

Given :

$\displaystyle \sf{ {( {2}^{ - 1} + {3}^{ - 1} + {5}^{ - 1} )}^{0} }$

To find :

The value of the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

$\displaystyle \sf{ {( {2}^{ - 1} + {3}^{ - 1} + {5}^{ - 1} )}^{0} }$

Step 2 of 2 :

Simplify the given expression

$\displaystyle \sf{ {( {2}^{ - 1} + {3}^{ - 1} + {5}^{ - 1} )}^{0} }$

$\displaystyle \sf{ = {\bigg( \frac{1}{2} + \frac{1}{3} + \frac{1}{5} \bigg)}^{0} }$

$\displaystyle \sf{ = {\bigg( \frac{15 + 10 + 6}{30} \bigg)}^{0} }$

$\displaystyle \sf{ = {\bigg( \frac{31}{30} \bigg)}^{0} }$

$\displaystyle \sf{ = 1 \: \: \: }\bigg[ \: {a}^{0} = 1 \: \: where \: a \ne 0\bigg]$