Question

simplify both the questions given above​

Answer 1

Answer:

Hello✌️✌️✌️

Step-by-step explanation:

First Question:-

{√(5²+12²)}³ = {√(25+144)}³ = {√(169)}³ = {13}³ = 2197

Second Question:-

{√(6²+8²)}³ = {√(36+64)}³ = {√100}³ = {10}³ = 1000

Answer 2

$\rule{200}3\rule{200}3$

$\underline{\rm \green{Solution\;1:-}} \qquad \: \: \: \: \: \: \qquad \qquad\\\\\bf\Bigg\{\big(5^2 + 12^2\big)^\frac{1}{2}\Bigg\}^3 \: \qquad \qquad \: \: \: \: \:\\\\\sf \longrightarrow \Bigg\{\big[(5^{2})\big]^\frac{1}{2} + \big[(12^2) \big]^\frac{1}{2} \Bigg\}^3 \\\\\sf\longrightarrow \Big[5+12\Big]^3 \qquad \qquad \qquad \qquad\\\\\sf\longrightarrow \Big[17\Big]^3 \qquad \qquad \quad \qquad \quad\qquad\\ \\ \longrightarrow\boxed{\bf 4913} \qquad \qquad \qquad \qquad \qquad$

$\rule{200}3 \rule{200}3$

$\underline{\rm\red{Solution \; 2 :-}}\qquad\qquad\qquad\\\\\bf \Bigg\{\big(6^2 + 8^2\big)^\frac{1}{2}\Bigg\}^3\qquad\qquad\quad\\\\\sf\longrightarrow\Bigg\{\big[(6)^2\big]^\frac{1}{2} + \big[(8)^2\big]^\frac{1}{2}\Bigg\}^3\\\\\sf\longrightarrow\big[6+8\big]^3\qquad\qquad\qquad\qquad\\\\\sf\longrightarrow [14]^3\qquad\qquad\qquad\qquad\qquad \\ \\\longrightarrow\boxed{\bf 2744} \qquad\qquad\qquad\qquad\quad$

$\rule{200}3 \rule{200}3$

$\underline{\pink{\rm More \; Information :-}}$

$\boxed{\begin{minipage}{7cm}\underline{\bf Exponents \& powers formulae :-}\\\\\bullet\; \sf a^m \times a^n = a^{m+n}\\\\\sf \bullet \; a^m\div a^n = a^{m-n} \\\\\sf\bullet \; \big(a^m\big)^n = a^{mn}\\\\\sf\bullet\;\big(a\div b\big)^n=a^n\div b^n\\\\\sf\bullet\; a^0=1\to a \not= 0\\\\\sf\bullet\;1\div a^m = a^{-m} \end{minipage}}$

$\rule{200}3 \rule{200}3$