### Theory:

Repeat the power rule: when raising a power to a power, the base stays the same, but the exponents (or 'the powers') are multiplied together.

${\left({a}^{m}\right)}^{n}={a}^{m\cdot n}$
Important!
When raising a monomial to a power, the coefficient is raised separately, but the powers of the variable factors (letters) are multiplied by the power they are being raised by.
Study the following example.
Example:
Raise the monomial to a power

1) Split the monomial into terms (or factors).

Remember: If the exponent of a variable factor is not specified, then it is $$1$$.

Raise each term separately.

=

2) The powers are multiplied by the power you are raising them by.

3) When raising a negative coefficient to the 3rd power, the result is negative.

$-8\cdot {x}^{3}\cdot {y}^{6}\phantom{\rule{0.147em}{0ex}}\phantom{\rule{0.147em}{0ex}}\mathrm{or}\phantom{\rule{0.147em}{0ex}}-8{x}^{3}{y}^{6}$