Multi-step Exponent Law Practice

EXPONENT LAWS

Let

x

y

m

and

n

be real numbers, with the following exceptions:

a base and exponent cannot simultaneously be zero (since $0^{0}$ is undefined);
division by zero is not allowed;
for non-integer exponents (like $\frac{1}{2}$ or $0.4$ ), assume that bases are positive.

Then,

$x^{m} x^{n} = x^{m + n}$	Verbalize: same base, things multiplied, add the exponents
$\frac{x^{m}}{x^{n}} = x^{m - n}$	Verbalize: same base, things divided, subtract the exponents
$\frac{1}{x^{n}} = x^{- n}$	Verbalize: moving from bottom to top (or top to bottom) causes the exponent to change sign
$(x^{m})^{n} = x^{m n}$	Verbalize: something to a power, to a power; multiply the exponents
$(x y)^{m} = x^{m} y^{m}$	Verbalize: product to a power; each factor gets raised to the power
${(\frac{x}{y})}^{m} = \frac{x^{m}}{y^{m}}$	Verbalize: fraction to a power; both numerator and denominator get raised to the power

EXAMPLES:

(an even number, please)