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FrozenT [24]
3 years ago
6

(7^4)(7^2) = A) 7^6 B) 7^8 C) 14^6 D) 14^8

Mathematics
1 answer:
jonny [76]3 years ago
4 0

Answer:

A

Step-by-step explanation:

using the rule of exponents

• a^{m} × a^{n} ⇔ a^{(m+n)}, hence

7^{4} × 7² = 7^{(4+2)} = 7^{6}


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Logan, the way you have phrased this question makes it a bit hard to follow.  I'm going to take the liberty of paraphasing it:

"Catalan drives an average of 1.4 times faster during the first 105 miles of her trip than she does during the second 105 miles."

As we are told, let X represent her speed during the first 105 miles of her trip.  She drives more slowly during the second 105 miles.  Thus, her speed during the 2nd 105 miles is X/1.4.

Remember:  distance = (rate)(time), or time = (distance)(rate)

We need to determine an expression for the time she spends driving.  Let T1 be the time required to drive 105 miles at speed X mph and T2 be the time required to drive 105 miles at speed (X/1.4) mph.

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