Exponents

The value of $1^3 +2^3+ 3^3+ .....m^3$ is equal to:

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

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

Find the value of ${\left(897\right)}^2$.

If $2^x=3^y=6^{-z}$, then $\left(\frac{1}{x}+\frac{1}{y}+\frac{1}{z}\right)$ is equal to

The last digit in the decimal representation of ${\left(\frac{1}{5}\right)}^{2000}$ is _____

If $3^{x+3}+7=250$, then the value of $x$ is _____

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

If $3^{x+4}+3^{x+3}=4$, then find the value of $x$.

Which of the following in the largest number?

$2^{\frac{1}{2}}, 3^{\frac{1}{3}}, 6^{\frac{1}{6}}, {12}^{\frac{1}{12}}$

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

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

Find the value of  $?$ in the given question :
${\left(8464519\right)}^{\frac{1}{3}}=?$

What will come in place of the question mark $\left(?\right)$ in the following questions?

$7^2\times {49}^2=7^{?}\times 343$

If ${\left(\frac{3}{5}\right)}^3\times {\left(\frac{3}{5}\right)}^{-6}={\left(\frac{3}{5}\right)}^{2x-1}$, then the value of $x$ is _____

If $2^{\mathrm{x}+\mathrm{y}}=2^{\mathrm{x}-\mathrm{y}}=\sqrt{8}$, then find the value of $\mathrm{y}$ ?

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 ${\mathrm{m}}^{\mathrm{m}}$.

What will come in place of the question mark $\left(?\right)$ in the following questions?

${\left(5\right)}^3\times {\left(25\right)}^2={\left(5\right)}^{?}\times {\left(125\right)}^2$

If $x^n+a^n$ is divisible by $x + a$Only, Then $n$is what$?$ ?

Which statement is true