Exponents

What value will come in place of the question mark (?) in the following question?

$\sqrt[4]{{81}^{-2}}=?$

Find the value of the expression ${\left(\frac{81}{16}\right)}^{\frac{-3}{4}}\times \left[{\left(\frac{25}{9}\right)}^{\frac{-3}{2}}÷{\frac{5}{2}}^{-3}\right]$?

What is the value of $8^{\frac{2}{3}}$?

If $y=3^{x-1}+3^{-x-1}$ , then the least value of $y$ is:

The value of  ${\left(\frac{-1}{216}\right)}^{-2/3}$ is ?

If $2^{\mathrm{m}}-2^{\mathrm{m}-1}-4=0$ then find the value of ${\mathrm{m}}^{\mathrm{m}}$.

If ${27}^{2x-1}=(243{)}^3$ then the value of $x$ is:

If $3^{\mathrm{x}}=5^{\mathrm{y}}={\left(75\right)}^{\mathrm{z}}$, then what is the value of $\mathrm{z}$?

$(5.0 \times {10}^4) \times (3.0 \times {10}^6) =?$

If ${18}^2+{15}^2=k^2$ then find the value of $k$?

If $\log 2,\log \left(2^x-1\right)$and $\log \left(2^x+3\right)$ are in $\mathrm{A}.\mathrm{P}.$, then $x$ is equal to _________

Determine the greatest number among the following four numbers

If $a=\sqrt{\frac{7+4\sqrt{3}}{7-4\sqrt{3}}}$ then the value of ${\left[a\left(a-14\right)\right]}^2$ is

Show that ${\left(\frac{x^{\mathrm{a}}}{x^{\mathrm{b}}}\right)}^{a+b}\times {\left(\frac{x^{\mathrm{b}}}{x^{\mathrm{c}}}\right)}^{b+c}\times {\left(\frac{x^{\mathrm{c}}}{x^{\mathrm{a}}}\right)}^{c+a}$ is given by _____

If $2^x=3^y=6^{-z},\frac{1}{x}+\frac{1}{y}+\frac{1}{z}$ is_____

Using $(a-b{)}^3=a^3-b^3-3ab(a-b)$ tick the correct of these when $x=p^{\frac{1}{3}}-p^{\frac{-1}{3}}$

If $a^3-b^3=(a-b) \left(a^2+ab+b^2\right)$, then the simplified form of

${\left[\frac{x^l}{x^m}\right]}^{l^2+lm+m^2}\times {\left[\frac{x^m}{x^n}\right]}^{m^2+mn+n^2}\times {\left[\frac{x^n}{x^l}\right]}^{l^2+ln+n^2}$

Correct graph of the equation $y=2^x$ is 

Graph the exponential $y=2^x$. To graph the function, plot the points on the graph with $x$-values $2, 3, 4$, and $-1.$

Draw the curve of the equation $y=2^x$ if $-1\le x\le 3$