Question

If a^16 is the same as 2^64, what is the absolute value of a?

Answer 1

Answer:

$a=16$

Step-by-step explanation:

we know the power rule:

$(a^{m})^{n} =a^{m*n}$

In this problem we have

$a^{16}=2^{64}$

rasise both sides to 1/16

$(a^{16})^{\frac{1}{16}}=(2^{64})^{\frac{1}{16}}$

Applying the power rule

$(a)^{\frac{16}{16}}=(2)^{\frac{64}{16}$

simplify

$a=(2)^{4}$

$a=16$