Question

Find 32⅖
plz ans it with steps​

Answer 1

Answer:

32'2/5

1 step 32= 2^5= 2×2×2×2×2

so 2 ^5×2/5

=5is calcel by 5

= then 2×2=4

Answer 2

Question :-

• Find the value of $32 {}^{ \frac{2}{5} }$?

Solution :-

$32 {}^{ \frac{2}{5} } =( 32 {}^{ \frac{1}{5} } ) {}^{2} \: \: \: \: \: [as \: (x {}^{a} ) {}^{b} = x {}^{ab} ]$

$( \sqrt[5] {32} ) {}^{2} = ( \sqrt[5] {2 \times 2 \times 2 \times 2 \times 2} ){}^{2} =(2) {}^{2}= 4 \: \: \: \: \: ans$

Hint :-

formula -

$x {}^{ \frac{1}{n} } = \sqrt[n] {x} \: \: \: [here \: n \: denotes \: n {}^{th} \: root \: of \: x ]$

Eg:-

$(17) {}^{ \frac{1}{n} } = \sqrt[n] {17}$