Question

please give me answer​

Answer 1

Answer:

{(5)^6×5^4} / 5^7

{5^(6+4)}/5^7

5^10/5^7

5^(10-7)

5^3

125

so, 5^3 and 125 is the same thing.

hope it's help you.

Answer 2

$\large \bold{ \frac{ {(5 ^{2} )}^{3} \times {5}^{4} }{ {5}^{7} } }$

$= \large \bold{ \frac{ 5 ^{2 \times 3} \times {5}^{4} }{ {5}^{7} } }$

$= \large \bold{ \frac{ 5 ^{6} \times {5}^{4} }{ {5}^{7} } }$

$= \large \bold{ \frac{ 5 ^{6 + 4} }{ {5}^{7} } }$

$= \large \bold{ \frac{ 5 ^{10} }{ {5}^{7} } }$

$= \large \bold{ { 5 ^{10 - 7} }{ } }$

$= \large \bold{ { 5 ^{3} }{ } }$

$= \large \boxed{\bold{ { 125 }{ } }}$

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Required identities :–

$\boxed{ \bold{ {(a ^{m} )}^{n} = {a}^{m \times n} }}$

$\boxed{ \bold{{ {a}^{m} \times {a}^{n} = {a}^{m + n} }}}$

$\boxed{ \bold{ \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} }}$