Question

81 to the power 25 : 3 to the power of 6

Answer 1

81 = 3^4

3^4)^25 :3^6

3^100 :3^6
3^94

Answer 2

Ratio =  81²⁵ : 3⁶ (Given)

Simplify the ratio

$8^{25} = 3^6$

rewrite 81 as 3⁴:

$3^{4(25)} = 3^6$

Evaluate the exponent:

$3^{100} = 3^6$

Divide both sides by 3⁶:

$3^{100-6} = 3^{6-6}$

$3^{94} = 1$