Question

If 25 a4 = a 6 , then a is equal to

Answer 1

Step-by-step explanation:

solution............

Answer 2

Answer:

$value \: of \: a^{4}+\frac{1}{a^{4}}=1154 </p><p></p><p>Step-by-step explanation:</p><p></p><p> Given \: a+\frac{1}{a}=6--(1)</p><p></p><p>Squaring on both sides,we get</p><p></p><p>\big(a+\frac{1}{a}\big)^{2}=6^{2}</p><p></p><p>\implies a^{2}+\frac{1}{a^{2}}+2\times a \times \frac{1}{a}=36 </p><p></p><p>\implies a^{2}+\frac{1}{a^{2}}+2=36 </p><p></p><p>\implies a^{2}+\frac{1}{a^{2}}=36-2 </p><p></p><p>\implies a^{2}+\frac{1}{a^{2}}=34---(2) </p><p></p><p>On Squaring equation (2) , we get</p><p></p><p>\big(a^{2}+\frac{1}{a^{2}}\big)^{2}=(34)^{2}</p><p></p><p>\implies a^{4}+\frac{1}{a^{4}}+2\times a^{2} \times \frac{1}{a^{2}}=1156</p><p></p><p>\implies a^{4}+\frac{1}{a^{4}}+2=1156 </p><p></p><p>\implies a^{4}+\frac{1}{a^{4}}=1156-2 </p><p></p><p>\implies a^{4}+\frac{1}{a^{4}}=1154 </p><p></p><p>Therefore,</p><p></p><p> value \: of \: a^{4}+\frac{1}{a^{4}}=1154$