Hello!
Using the property of exponents, when exponents are multiplied together, the powers are added together.
Here is basic format: [tex]x^{a} * x^{b} = x^{a + b}[/tex].
With that, add each exponent power together and simplify.
A). [tex]7^{-1} * 7^{-1} = 7^{-2} = \frac{1}{49}[/tex]
B). [tex]7^{8} * 7^{-6} = 7^{2} = 49[/tex]
C). [tex]7^{-5} * 7^{3} = 7^{-2} = \frac{1}{49}[/tex]
D). [tex]7^{7} * 7^{-9} = 7^{-2} = \frac{1}{49}[/tex]
E). [tex]7^{-2} * 7^{4} = 7^{2} = 49[/tex]
Therefore, the expressions equivalent to 1/49 are A, C, and D.
