Sign up to access problem solutions.

Already have an account? Log in here.

Adding 10 to itself 10 times gives 100, but how can we represent 10 multiplied to itself 10 times? See more

Which is larger

\[ \large A = 4^ { 3 ^ 2 } \quad \text{ or } \quad B = 2^ { 3 ^ 4 } ? \]

Sign up to access problem solutions.

Already have an account? Log in here.

Let \(N\) be the number of 0's needed to write out \(10^{100000}\).

How many 0's are needed to write out the number \(N\)?

Sign up to access problem solutions.

Already have an account? Log in here.

\[ \Large \color{blue}{1!^{9!}} \hspace{7mm} \color{green}{2!^{8!}} \hspace{7mm} \color{orange}{3!^{7!}} \hspace{7mm} \color{purple}{4!^{6!}} \hspace{7mm} \color{red}{5!^{5!}}\]

Which of the numbers above is the largest?

Sign up to access problem solutions.

Already have an account? Log in here.

\[ \huge 27^{- \frac {x}{3} } + 81^{ \frac {1-x}{4} } \]

If the expression above can be stated in the form of \( \dfrac {a}{b^x} \) for positive integers \(a\) and \(b\). What is the value of \(a+b\)?

Sign up to access problem solutions.

Already have an account? Log in here.

Which is larger?

\[ \LARGE \color{red}{10}^{\color{blue}{7}} \quad \text{or} \quad \color{blue}{7}^{\color{red}{10}} \]

Sign up to access problem solutions.

Already have an account? Log in here.

×

Problem Loading...

Note Loading...

Set Loading...