Question

Please answer correctly while showing detailed working ​

Answer 1

Answer:

243

Step-by-step explanation:

its all about laws of exponent

pls open the pic for ur answer

i hope it may have helped u

Answer 2

Answer:

$243$

Step-by-step explanation:

Given:

$27 ^{\frac{2}{3}} \div 27^{\frac{1}{3}} \times 27^{\frac{4}{3}}$

Recall:

$a^{\frac{m}{n}} = (\sqrt[n]{a})^m$

$a^{\frac{1}{n}} = \sqrt[n]{a}$

Solution:

$27 ^{\frac{2}{3}} \div 27^{\frac{1}{3}} \times 27^{\frac{4}{3}}\\ (\sqrt[3]{27})^2 \div \sqrt[3]{27} \times (\sqrt[3]{27})^4 \\ 3^2 \div 3 \times 3^4 \\ 9 \div 3 \times 81 \\ 3 \times 81 \\ 243$