Question

Evaluate :
(3^2)^3 + (2/3)^0 +(3)^5 × (1/3)^4​

Answer 1

Step-by-step explanation:

Given,

${ ({3}^{2}) }^{3} + {(\frac{2}{3} )}^{0} + {3}^{5} \times {( \frac{1}{3} )}^{4}$

Solution:

$= { ({3}^{2}) }^{3} + 1 + {3}^{5} \times {( \frac{1}{3} )}^{4}$

Since,

${x}^{0} = 1$

Then,

$= {3}^{6} + 1 + {3}^{5} \times {(3)}^{ - 4}$

As,

${({a}^{x} )}^{y} = {a}^{xy}$

Then,

$= 729 + 1 + {3}^{5 + ( - 4)}$

As,

${a}^{x} \times {a}^{y} = {a}^{x + y}$

Then,

= 729 + 1 + 3

= 733

Result:

Hence, 733 is the required answer.