HELP FOR MEDAL AND FAN

Question

anonymous · Answer

attachment

mathstudent55 · Answer

You need to know a few rules of exponents.

mathstudent55 · Answer

What is a number to the zero power?

anonymous · Answer

@mathstudent55 's got it. good luck

anonymous · Answer

UM

anonymous · Answer

not sure lol..

mathstudent55 · Answer

In general, $\large a^0 = 1$, a number raised to the zero power is 1. (Perhaps 0^0 is undefined, but any number other than zero raised to the zero power equals one.)

mathstudent55 · Answer

Examples: 

$8^0 = 1$

$(-4)^0 = 1$

$\pi^0 = 1$

$(\sqrt{23})^0 = 1$

mathstudent55 · Answer

Now you need one more rule.
A power raised to a power.

$\large (a^m)^n = a^{mn} $

When you raise a power to a power, multiply the powers.

anonymous · Answer

okay

mathstudent55 · Answer

Examples:

$\large(2^3)^3 = 2^9$

$((-5)^2)^{-3} = (-5)^{2 \times (-3)} = (-5)^{-6} $

mathstudent55 · Answer

Now we can look at each choice, one by one.

mathstudent55 · Answer

Remember that we are looking for expressions that equal $\large 6^{16}$.

Let's start with the first choice.

$\large (6^0)^{16} $

Apply the rule of a power raised to a power. Multiply the exponents. What do you get?

mathstudent55 · Answer

Are you still there?