Algebra
# Algebra Warmups

Evaluate the following expression:

$123456789^{2} - (123456788 \times 123456790).$

If you use a calculator whose precision is not strong enough to answer this question, then you **will** answer this problem incorrectly.

$\large\color{#20A900} 6^{\color{#3D99F6} 6} + \color{#20A900} 6^{\color{#3D99F6} 6} + \color{#20A900} 6^{\color{#3D99F6} 6} + \color{#20A900} 6^{\color{#3D99F6} 6} + \color{#20A900} 6^{\color{#3D99F6} 6} + \color{#20A900} 6^{\color{#3D99F6} 6} = \color{#20A900}6^ {\color{#624F41}a}$

If $\color{#624F41} a$ satisfies the equation above, what is the value of $\color{#624F41} a$?

What is the value of

$\large \sqrt{1\text{\%}}\, ?$