Question

find the value of (25)powero.3 ×(25)power0.2​

Answer 1

$\red{ Value \:of \: (25)^{0.3} \times (25)^{0.2}}\\= (25)^{0.3+0.2}$

/* By Exponential Law */

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

$= (25)^{0.5} \\= (5^{2})^{0.5}\\= 5^{2\times 0.5} \\= 5^{1} \\= 5$

Therefore.,

$\red{ Value \:of \: (25)^{0.3} \times (25)^{0.2}}\green {= 5}$

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Answer 2

${25}^{0.3} \times {25}^{0.2} \\ = {25}^{0.3 + 0.2} \\ = {25}^{0.5} \\ = ( {5}^{2}) ^{0.5} \\ = {5}^{1} \\ = 5 \: } \: answer \: .....$

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