Question

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Answer 1

⭐⭐Hello friend..Ur answer is here⤵⤵

⚫ 625^0.16×625^0.09

➡625^0.16+0.09

➡625^0.25

➡625^25/100

➡625^1/4

➡(5×5×5×5)^1/4

➡ 5

I HOPE IT IS HELPFUL TO YOU ☺

Answer 2

Hey friend,
Here is the answer you were looking for:
${625}^{0.16} \times {625}^{0.09}$

${625}^{ \frac{16}{100} } \times {625}^{ \frac{9}{100} }$

Using the identity :

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

${625}^{ \frac{16 + 9}{100} } \\ \\ = {625}^{ \frac{25}{100} } \\ \\ = {625}^{ \frac{1}{4} } \\ \\ = ({5}^{4} ) ^{ \frac{1}{4} } \\ \\ = {5}^{4 \times \frac{1}{4} } \\ \\ = 5$

Hope this helps!!

If you have any doubt regarding to my answer, feel free to ask in the comment section or inbox me if needed.

@Mahak24

Thanks...
☺☺