Question

simplify the following expressions: show all of your step and have no negative exponents
16 $(-2)^{-1}$
#17 $4m^{-1}n^{2}$
#18 $5xy^{0}$

Explanation:

Step1: Rewrite negative exponent

$(-2)^{-4} = \frac{1}{(-2)^4}$

Step2: Evaluate the denominator

$\frac{1}{(-2)^4} = \frac{1}{16}$

Step3: Rewrite negative exponent

$4m^{-1}n^2 = 4 \cdot \frac{1}{m^1} \cdot n^2$

Step4: Simplify the expression

$4 \cdot \frac{1}{m} \cdot n^2 = \frac{4n^2}{m}$

Step5: Apply zero exponent rule

$5xy^0 = 5x \cdot 1$

Step6: Simplify the expression

$5x \cdot 1 = 5x$

Answer:

#16: $\frac{1}{16}$
#17: $\frac{4n^2}{m}$
#18: $5x$