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Choose the expression that is equivalent to fraction with 7 raised to the negative tenth power in the numerator and 7 raised to the fourth power times seven raised to the zero power in the denominator.

negative 1 divided by 7 raised to the fourteenth power
−714
1 divided by 7 raised to the fourteenth power
714

Choose the expression that is equivalent to fraction with 7 raised to the negative-example-1
User Nuetrino
by
7.3k points

2 Answers

4 votes

Answer:

Last option,
(1)/(7^(14) )

Explanation:


(7^(-10) )/((7^(4) )(7^(0) ))=>
(7^(-10) )/(7^(4+0))=>
(7^(-10) )/(7^(4))=>
7^(-10-4)=>
7^(-14)=>
(1)/(7^(14) )

User Retro Gamer
by
7.3k points
5 votes

Explanation:

note that 7⁰ is always 1.


\frac{ {7}^( - 10) }{ {7}^(4) } \\ \\ \frac{1}{ {7}^(14) } \\ \\ {7}^( - 14)

the answer is shown above

User Uriah Carpenter
by
5.7k points