contestada

Which of the following expressions is equivalent to the one shown below?
713
7⁰
OA. 720
OB. 75
O C. 76
O D. 791

Which of the following expressions is equivalent to the one shown below 713 7 OA 720 OB 75 O C 76 O D 791 class=

Respuesta :

Answer: Option C   [tex]\boldsymbol{7^6}[/tex]

Work Shown:

[tex]\frac{7^{13}}{7^{7}}\\\\\\7^{13-7}\\\\\\\boldsymbol{7^6}[/tex]

Subtract the exponents to get the answer. The rule is [tex]\frac{a^{b}}{a^{c}} = a^{b-c}[/tex]. This rule only works when the bases are the same.

(A^m)/(A^n) = A ^ (m-n).
(7^13)/(7^7) = 7 ^(13-7),
7^(6) = 117649