Question

Which is equivalent to 3√8^1/4x

Answer 1

Answer:

Given : $(\sqrt[3]{8})^{\frac{1}{4}x}$

Use exponent rules:

$\sqrt[n]{a^m} = (a^m)^{\frac{1}{n} }= a^{\frac{m}{n}}$

then;

$(8^{\frac{1}{3}} )^{\frac{1}{4}x}$

$(8)^{\frac{1}{3 \cdot 4}x}$

$8^{\frac{1}{12}x}$

or

$(\sqrt[12]{8})^{x}$

Therefore, the expression which is equivalent to $(\sqrt[3]{8})^{\frac{1}{4}x}$ is, $(\sqrt[12]{8})^{x}$

Answer 2

If this problem is cube root of 8 raised to the 1/4x power, it can be written as   8^x/12