The correct option is A 25 (√(a))^6log_a^5 = (a^1/3)^6log_a^5 = a^2log_a^5 = a ...

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Property 6

Evaluate √a6 ...

Question

Evaluate $(\sqrt[3]{a})^{6 l o g_{a}^{5}}$

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Solution

The correct option is A
25

$(\sqrt[3]{a})^{6 l o g_{a}^{5}}$ = $(a^{\frac{1}{3}})^{6 l o g_{a}^{5}}$

= $a^{2 l o g_{a}^{5}}$

= $a^{2 l o g 5_{a}^{2}}$

= $5^{2}$

=25

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