Question

simplify the following (4) ^-3​

Answer 1

Answer:

The given question is solved in the uploaded photo.

Answer 2

Answer:

(4)⁻³

Here, look at the exponent ⁻³. If an exponent is a negative number, you need to flip the base to the other side. In other words, we reciprocal the base. For instance, x⁻ⁿ is nothing but $(\frac{1}{x})^{n}$.

Thus, $4^{-3}$ can be written as $(\frac{1}{4})^{3$.

⇒$(\frac{1}{4})^{3$

⇒$\frac{1^{3} }{4^{3}}$ ----------------> $(\frac{x}{y})^{n}=\frac{x^{n} }{y^{n} }$

⇒$\frac{1}{64}$

$\frac{1}{64}$ is your answer.

HOPE THIS HELPS :D