Question

answer this questions with photo​

Answer 1

Step-by-step explanation:

(1/2 + 1/3)³

(5/6)³

125/216

Answer 2

QUESTION:-

(2⁻¹+3⁻¹)³

EXPLANATION:-

In the question we will first solve the bracket-:

So according to the law of exponent :-

$\bf\;a^{-1}=\frac{1}{a}$

So let's apply it here:-

$\rightarrow \sf\;(\frac{1}{2}+\frac{1}{3})^3\\\\\\\rightarrow \sf\;(\frac{3+2}{6})^3\\\\\\\rightarrow\sf\; (\frac{5}{6})^3\\\\\\\rightarrow\sf\; Using\;the\;law\;of\;exponent-:(\frac{m}{n})^a=\frac{m^a}{n^a}\\\\\\\\\rightarrow \sf\;\frac{125}{216}$

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EXTRA INFORMATION:-

$\begin{gathered}\boxed{\begin{minipage}{5 cm}\bf{\dag}\:\:\underline{\text{Law of Exponents :}}\\\\\bigstar\:\:\sf\dfrac{a^m}{a^n} = a^{m - n}\\\\\bigstar\:\:\sf{(a^m)^n = a^{mn}}\\\\\bigstar\:\:\sf(a^m)(a^n) = a^{m + n}\\\\\bigstar\:\:\sf\dfrac{1}{a^n} = a^{-n}\\\\\bigstar\:\:\sf\sqrt[\sf n]{\sf a} = (a)^{\dfrac{1}{n}}\end{minipage}}\end{gathered}$

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$\rule{150}{5}\bigstar\bigstar\bigstar\rule{150}{5}$