Write the exponent of $4$ so that the result is $1024$.

Identify the base and the exponent of the following:

Identify the base and the exponent of the following:

A number, $x$ is both perfect square and perfect cube. What are the possible digits in the unit's place of $x?$

$1^1+{\left(-1\right)}^2+1^3+{\left(-1\right)}^4+1^5+{\left(-1\right)}^6+.....+1^{99}+{\left(-1\right)}^{100}=$_____.

${\left(99\right)}^{37}\times {\left(99\right)}^{-14}\times {\left(99\right)}^3\times {\left(99\right)}^{-26}=$_____.

$\left[{\left(999\right)}^9\times {\left(999\right)}^{90}\times {\left(999\right)}^{900}\right]÷{\left(999\right)}^{998}=$_____.

${\left(2^2\right)}^3-{\left(-2^3\right)}^2=$_____.

${\left[{99}^1+{98}^2+{97}^3+.....+3^{97}+2^{98}+1^{99}\right]}^0=$_____.