Variables and Constants

The constant term in the expression $5y^2-3y+x+3$ is.

$\mathrm{s}\times \mathrm{s}\times \mathrm{s}\times \mathrm{t}\times \mathrm{t}=$${\mathrm{s}}^3$_____²

$6\times \mathrm{p}\times \mathrm{p}\times \mathrm{q}\times \mathrm{q}\times \mathrm{q}=6{\mathrm{p}}^2\times {\mathrm{q}}^{\mathrm{k}}$. 

If the above equation is true, then the value of $\mathrm{k}$ is _____.

If $4\times 4\times 4=4^k$, then the value of $k=$_____

$10\times 10\times 10\times \mathrm{t}\times \mathrm{t}\times \mathrm{t}={10}^3\times {\mathrm{t}}^{\mathrm{k}}$. 

If the above equation is true, then the value of $\mathrm{k}$ is _____.

Write the constant term in $x^2+2x-5$.

State whether the expression $2+m+n$ is: Numerical Expression / Algebraic Expression.

Simplify:

$15x-\left[8x^3+3x^2-\left\{8x^2-\left(4-2x-x^3\right)-5x^3\right\}-2x\right]$

Simplify:

$3m{n}^2-\left(5m^2{n}^2\right)+\left(-7m{n}^2\right)-\left(2m^2{n}^2\right)$

Simplify:

$(x-2y)+(3y-x)-(3x-2y)$

Write the expanded form in exponential form. 

$\mathrm{m}\times \mathrm{m}\times \mathrm{m}\times \mathrm{m}$

Write the expanded form in exponential form:  

$5\times 5\times 5\times x\times y\times y\times y$

Write the expanded form in exponential form:  

$2\times \mathrm{y}\times \mathrm{y}\times \mathrm{y}$

Write the expanded form in exponential form.

$\mathrm{q}\times \mathrm{q}\times \mathrm{q}$

Write the expanded form in exponential form:

$\mathrm{x}\times \mathrm{x}\times \mathrm{x}\times \mathrm{y}$

Find out:

The number obtained by dividing '$a$' by $3$.

Find out:

The number obtained by multiplying $\mathrm{y}$ by $6$.

Find out: 

The number obtained by adding $2\mathrm{x}$ and $3\mathrm{y}$. 

Find out:

The number obtained by subtracting $x$ from $10$.

Pay attention to the following mathematical statements and write the letter or number in the box.

$$\begin{gathered} \mathrm{b}÷2=5 \\ \boxed{} ÷2=5 \end{gathered}$$