Question

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

Answer 1

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) )`

Answer 2

Explanation:

note that 7⁰ is always 1.

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

the answer is shown above