Question

simplify (16/49)power 1/2
please the answer is 4/7 but I need the solution
please be quick​

Answer 1

Step-by-step explanation:

hope it's helpful to you

Answer 2

Step-by-step explanation:

$\Large{\bf{\pink{\mathfrak{\dag{\underline{\underline{Question :}}}}}}} \:$

Simplify (16/49)^1/2

$\Large{\bf{\orange{\mathfrak{\dag{\underline{\underline{Solution:}}}}}}} \:$

As we know that,

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

$\displaystyle{ \implies \: (\frac{16}{49}) {}^{ \frac{1}{2} } }$

$\displaystyle{ \implies \: \sqrt{ \frac{16}{49} } }$

• If we factorise them

$\displaystyle{ \implies \: \sqrt{ \frac{4 \times 4}{7 \times 7} } } \:$

$\displaystyle{ \implies \: \frac{4}{7} } \:$

∴ The answer is 4/7.

$\Large{\bf{\green{\mathfrak{\dag{\underline{\underline{More \: to \: Know :}}}}}}} \:$

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