Question

Simplify 81^5=3^w and find w

Answer 1

Answer:

$w = 20$

Step-by-step explanation:

Step 1:  Find common bases

$81^5 = 3^w$

$81$ → $3 * 3 * 3 * 3$ → $3^4$

Therefore, $81 = 3^4$

$81^5$ → $3^(^4^)^*^5$ → $3^2^0$

So... $3^2^0 = 3^w$

Since same base now, we can evaluate the exponents by themselves.

$20 = w$

Answer:  $w = 20$