Question

[(-5)²]³ =.........,Write the correct answer from the given alternatives to make the given statements true.
(a) (-5)⁵
(b) (-10)³
(c) 5⁶

Answer 1

$\huge{YOUR \: ANSWER}$

[(-5)²]³

$[({ { - 5})^{2}]}^{3} \\ \\ = { - 5}^{2 \times 3} ........... {(( {x})^{m} \: )}^{n} = {x}^{mn} \\ \\ = { - 5}^{6}$
So option c) is the right answer

$\boxed{\bold{THANKS \: }}$

Answer 2

Option ( c ) is correct

Explanation :

*************************************

We know the Exponential law :

( x^m )ⁿ = x^mn

***************************************

Now ,

[ (-5)² ]³

= ( 5² )³

= 5^2×3

= 5^6

•••••