Question

Simplify and express the result in power notation with position exponents—
(1/3)-⁵ × (1/3)⁴ × (3)-²​

Answer 1

Given :

• $\tt( \frac{1}{3} ){}^{ - 5} \times ( \frac{1}{3} ) {}^{4} \times (3) {}^{ - 2}$

Need To Do :

• Simplify and express the result in power notation with position exponents.

EXPLANATION :

$\bigstar \: \: \tt( \frac{1}{3} ){}^{ - 5} \times ( \frac{1}{3} ) {}^{4} \times (3) {}^{ - 2}$

We can write it as :

$: \longmapsto\: \: \tt(3){}^{5} \times ( \frac{1}{3} ) {}^{4} \times( \frac{3}{1} ){}^{ 2} \\\\\ :\longmapsto \tt \:\: 243\times \left(\frac{1}{3}\right)^{2}\times \left(\frac{3}{1}\right)^{2} \\\\\ \: :\longmapsto \tt \:\:243\times \left(\frac{1}{9}\right)\times \left(\frac{3}{1}\right)^{2} \\\\\ \: :\longmapsto \tt \:\:27\times \left(\frac{3}{1}\right)^{2} \\\\\ :\longmapsto \tt \:\:27\times 9 \: \\\\\ :\longmapsto \tt \:\:243 \\\\\ \:$