Select the equivalent expression. \left(6^{-4}\cdot 8^{-7}\right)^{-9}=?(6 −4 ⋅8 −7 ) −9 =?left parenthesis, 6, start superscript, minus, 4, end superscript, dot, 8, start superscript, minus, 7, end superscript, right parenthesis, start superscript, minus, 9, end superscript, equals, question mark Choose 1 Choose 1 (Choice A) A 6^{36}\cdot 8^{63}6 36 ⋅8 63 6, start superscript, 36, end superscript, dot, 8, start superscript, 63, end superscript (Choice B) B 6^{5}\cdot 8^{2}6 5 ⋅8 2 6, start superscript, 5, end superscript, dot, 8, squared (Choice C) C \dfrac{1}{6^{13}\cdot 8^{16}} 6 13 ⋅8 16 1

The system of equations graphed below has how many solutions?

Frank owns a $141,000 home, for which he has a 30-year mortgage in the amount of $700 a month. once he has paid off mortgage, how much will he have paid in investment? a. $111,000 b. $109,000 c. $120,000 d. $141,000

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.