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KiRa [710]
3 years ago
9

MATH WIZARD DO YO THING

Mathematics
1 answer:
nika2105 [10]3 years ago
3 0
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 <span>zero exponent rule says that</span> 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\\ &#10;y = 7^{-2}\\&#10;y =  \frac{1}{7^{2}} \\&#10;y = \frac{1}{49}

Find x = 0.<u /> Use the zero exponent rule:
y = 7^x\\ &#10;y = 7^{0}\\&#10;y = 1

Find x = 2. 
y = 7^x\\ &#10;y = 7^{2}\\&#10;y = 49

-------

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