One ordered pair (a,b) satisfies the two equations ab^4 = 384 and ab^5 = 4608. What is the value of a in this ordered pair?
+2196
One ordered pair (a,b) satisfies the two equations ab^4 = 384 and ab^5 = 4608. What is the value of a in this ordered pair?
ab5 = 4608 (equation 1)
ab4 = 384 (equation 2)
Divide both sides of eq 1 by
both sides of eq 2 respectively b = 12
sub 12 into equation 2 a • 124 = 384
20736a = 384
a = 384 / 20736
a = 1 / 54
check answer
sub values into eq 1 ab5 = 4608
(1/54)(248832) =? 4608
4608 = 4608
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