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\text { The value of }(2 / 5)^{-2} \text {is: }

(a) 4/5 (b) 4/25 (c) 25/4 (d) 5/2

Answer:

(c) 25/4

Explanation: By the law of exponent we know:

\mathrm{a}^{-\mathrm{n}}=1 / \mathrm{a}^{\mathrm{n}}

\text { Hence, }(2 / 5)^{-2}=1 /(2 / 5)^{2}=1 /(4 / 25)=25 / 4

"hello students my name is rabbit singh
and i welcome you all
to leader learning homework one of
india's best online classes
now today in this video we have a
question that is based on the topic of
exponents and numbers the question says
the value of 2 upon 5
whole to the power minus 2 is so we have
four options out of these four options
we have to select the correct one
so let us solve the question the
question is 2 upon 5
to the power -2 now if you will change
this minus 2
to plus 2 it will become 5 upon 2
squared this is the property where you
are changing minus 2 so you will reverse
it
like 5 will go in the numerator and 2
will go in the denominator now
5 squared divided by 2 squared
so that is 25 by 4 so for this question
answer is option c that is 25x4
i hope you have understood the concept
very clearly but still if you have any
doubt
do comment in the comment box and please
like and subscribe our channel follow
thank you"

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