Question

(4/5) ^ 2 * 5 ^ 4 * (2/5) ^ - 2 + (5/2) ^ - 3

Simplify and write in exponential form.


my answer has come as 5^6/2^1, but in the book the answer is written as 5^7/2^1​

Answer 1

Answer:

i have share u attachment u can see

Answer 2

• $\sf{\pmb{Appropriate \: Question:}}$

$\sf \binom{4}{5} ^{2} \times {5}^{4} \times \binom{2}{5} ^{2} \div \binom{5}{2} ^{3}$

Simplify and write in exponential form with positive exponent:

• $\sf{\pmb{Answer:}}$

$\sf \binom{4}{5} ^{2} \times {5}^{4} \times \binom{2}{5} ^{2} \div \binom{5}{2} ^{3} \\ \sf = ( \frac{ ( {2}^{2} ) ^{2} }{ {5}^{2} } ) \times {5}^{4} \times ( \frac{{2}^{ - 2} }{ {5}^{ - 2} } ) \times ( \frac{{2}^{ - 3} }{ {5}^{ - 3} } ) \\ \sf = \frac{( {2}^{4} \times {5}^{4} \times {2}^{ - 2} \times {2}^{ - 3} )}{( {5}^{2} \times {5}^{ - 2} \times {5}^{ - 3} )} \\ \sf = {2}^{4 - 2 - 3} \times {5}^{7} \\ \sf = \frac{ {5}^{7} }{ {2}^{1} }$

The exponential form is $\sf = \frac{ {5}^{7} }{ {2}^{1} }$