Question

Using laws of exponents, simplify and write the answer in exponential form -

$(5 {}^{2} ) {}^{3} \div 5 {}^{3}$

No spam or else 20 answer will be reported

Proper answer needed and with the steps

Report my earlier question, it is wrong ​

Answer 1

Answer:

the bracketed ones are the formulas used ...

Answer 2

AnswEr-:

• $\boxed{\longrightarrow{\mathrm{ Answer \:-:\:5^{3}\:or\:125}}}$

Explanation-:

$\sf{Given -:}$

• Simplify using exponential law -:
• $\mathrm{(5^{2} )^{3} \div 5^{3} }$

$\sf{To\:do -:}$

• Simplifying using exponential law .

$\mathrm{\dag{Solution \:of\:Question \: -:}}$

• $\star{\longrightarrow{\mathrm{(5^{2} )^{3} \div 5^{3}}}}$

• $\dag{\longrightarrow{\mathrm{ Exponential\:Law\:= (a^{m})^{n}\: = a^{mn} }}}$

• $\star{\longrightarrow{\mathrm{(5^{2} )^{3} \div 5^{3}}}}$

• $\star{\longrightarrow{\mathrm{(5^{2\times 3} \div 5^{3}}}}$

• $\star{\longrightarrow{\mathrm{(5^{6} \div 5^{3}}}}$

• $\dag{\longrightarrow{\mathrm{ Exponential\:Law\:= a^{m} \div a^{n}\: = a^{m-n} }}}$

• $\star{\longrightarrow{\mathrm{(5^{6} \div 5^{3}}}}$

• $\star{\longrightarrow{\mathrm{(5^{6-3}}}}$

• $\star{\longrightarrow{\mathrm{ 5^{3}}}}$

• $\dag{\longrightarrow{\mathrm{ 5^{3} = 125 }}}$

• $\star{\longrightarrow{\mathrm{ 5^{3}\:or\:125}}}$

$\sf{Hence -:}$

• $\boxed{\longrightarrow{\mathrm{ Answer \:-:\:5^{3}\:or\:125}}}$

_______________________________

♡ More To know-:

• Law's of exponents :

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

___________________________