Question

MATH WIZARD DO YO THING

Answer 1

The negative exponent rule says that when a base has a negative exponent, flip the base onto the other side of the fraction to make it into a positive exponent. For example, $3^{-2} = \frac{1}{3^{2} }$.

Also remember that the zero exponent rule says that any number raised to zero is 1. For example, $3^{0} = 1$.

Back to the Problem:
To fill out the table, you want to plug in the x-values you're given in the first row into $y = 7^x$ to get the y-values in order to fill in the second row.

The missing y-values are for when x = -2, x = 0, and x = 2.

Find x = -2. Use the negative exponent rule:
$y = 7^x\\ y = 7^{-2}\\ y = \frac{1}{7^{2}} \\ y = \frac{1}{49}$

Find x = 0.<u /> Use the zero exponent rule:
$y = 7^x\\ y = 7^{0}\\ y = 1$

Find x = 2. 
$y = 7^x\\ y = 7^{2}\\ y = 49$

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Answer: Your blanks from left to right are 49, 1, 49.