Question

(0.03125) raised to -2/5

Answer 1

Hi ,

Express 3125 as a product of prime

3125 = 5 × 5 × 5 × 5 × 5 = 5^5

We know that
_________________
1 )( a / b )^ -m = ( b / a ) ^ m

2) a^m / b^m = ( a / b )^ m
__________________

Now ,

( 0.03125 )^ -2/5

=( 3125 /10000 )^-2/5

= ( 10000 / 3125 )^ 2/5

= [ ( 10 )^5 / 5^5 ]^2/5

=[ ( 10 / 5 )^5]^ 2/5

= (2^5 ) ^ 2/5

= 2^( 5/1 × 2/5)

= 2^2

= 4

Therefore ,

( 0.03125 )^ -2/5 = 4

I hope this helps you.

:)

Answer 2

Question

(0.03125) raised to -2/5

Answer:

4

Step-by-step explanation:

=(0.03125)^-2/5

=(3125/100000)^-2/5

=(100000/3125)^2/5

={(10^5/5^5)^2/5}

=(2^5)^2/5

=2^5/1×2/5

=2^2

=4

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