Simplifying Fractional Exponents of a Polynomial

Q. What is the degree of the expression $\frac{5\cdot x^{\frac{2021}{2022}}}{x^{\frac{2021}{2022}}}?$

1. $0$
2. $1$
3. $2021$
4. $2022$

Q.

Justify if the expression $\frac{\left(x-2\right)\left(x-4\right)}{7}$is polynomial.

Q. Simplify the expression:
$\left(9^{\frac{1}{2}}\right)\left({81}^{\frac{3}{4}}\right)$

1. $9$
2. $27$
3. $81$
4. $243$

Q.

Multiply $3x^{2}y-7x{y}^2+2xyby4xy$.

Q. What is the degree of the polynomial $2x+\frac{7x^{\frac{9}{2}}}{x^{\frac{3}{2}}}+5?$

1. $3$
2. $2$
3. $1$
4. $0$

Q. What is the degree of the expression $2x^{\frac{5}{2}}\cdot 3x^{\frac{5}{2}}-6x^5?$

1. $0$
2. $1$
3. $5$
4. Not defined

Q.

Identify the following as polynomial and hence write their degrees :

$5x^2-4x+3$

Q.
The expression for area of the above rectangle has a degree of .

Q.

Multiply $\frac{1}{2}{a}^{2}b-\frac{2}{3}a{b}^2+5by6abc$

Q. Find the value of $y$ in the expression:
$(m^{\frac{1}{3}}{)}^{\frac{1}{5}}=m^{\frac{1}{y}}$