The value of {(625)^{6.25}\times(25)^{2.6}}/{(625)^6.75\times(5)^{1.2}} is:

Powers and Roots Practice Test 3

Question : 35 of 40

Marks: +1, -0

The value of

{(625)^{6.25}×(25)^{2.6}}/{(625)^6.75×(5)^{1.2}}

is:

Solution:

{(625)^{6.25}×(25)^{2.6}}/{(625)^6.75×(5)^{1.2}}

={(5×5×5×5)^{6.25}×(5×5)^{2.6}}/{( 5×5×5×5)^6.75×(5)^{1.2}}

={(5^4)^{6.25}×(5^2)^{2.6}}/{( 5^4)^6.75×(5)^{1.2}}

={(5 )^{25}×(5 )^{5.2}}/{( 5 )^27×(5)^{1.2}}=5^{5.2-1.2}/5^{27-25}

=5^4/5^2=5^2=25

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