Solve the following:

​$$(625)^{0.17}×(625)^{0.08}=$$ ?​

Correct option is C

Given:​

​$$(625)^{0.17}×(625)^{0.08}$$

Concept Used:

a^m $$\times$$ aⁿ = a^{m + n}

Solution:

​$$(625)^{0.17}×(625)^{0.08}$$​​

= $$(625)^{0.17+0.08}$$

​$$=(625)^{0.25}=(625)^{\frac14}$$​​

=$$(5^4)^{\frac14}$$ =5​