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# Algebra

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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?

Jun 3, 2022

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$$ab^5=4608$$ -----> 1

$$ab^4=384$$ -------> 2

$$\frac{1}{2}$$ Divide 1 by 2

$$b=\frac{4608}{384}$$

$$b=12$$

$$a\times (12)^4=384$$

$$a=\frac{1}{54}$$

Jun 3, 2022