Simple Exponents

Algebra Level 1

$\large \dfrac{99^{{6}}}{11^{{6}}} = \, ?$

9

9^6

6^9

11^{99}

4 solutions

A Former Brilliant Member
Jul 17, 2017

$\dfrac{99^6}{11^6}=\dfrac{9^6(11^6)}{11^6}=$ $\color{#D61F06}\boxed{\large 9^6}$

Anish Harsha
Feb 19, 2016

$\large \dfrac{99^\color{#D61F06}{6}}{11^\color{#D61F06}{6}}$

$\large = \ \left(\dfrac{99}{11}\right)^\color{#D61F06}{6}$

$\large = \ 9^\color{#D61F06}{6}$

Nice solution. Thanks!

Sandeep Bhardwaj - 5 years, 3 months ago

Eden Dupont
Feb 19, 2016

$\frac{99^6}{11^6}$ = $\frac{9*11*9*11*9*11*9*11*9*11*9*11}{11*11*11*11*11*11}$ = $\frac{9*9*9*9*9*9}{1}$ = $\frac{9^6}{1}$ = 9^6

Anne Beatriz
Feb 26, 2016

How can use Latéx here?

If you want to learn the latex coding, you can refer to Daniel's note: Beginners LaTex Guide . @Anne Beatriz

Sandeep Bhardwaj - 5 years, 3 months ago