Simplify the expression. Write your answer using only positive exponents:7^6 x 7 x 7^-4

Mathematics

1 answer:

svetoff [14.1K]3 years ago

5 0

The problem is asking you to simplify the exponents. When you multiply two or more powers with the same base, the exponents can be added and subtracted. In this case, the base is 7.

$7^6*7*7^{-4}$

7 can also be written as $7^1$ .

$7^6*7^1*7^{-4} = 7 ^{(6+1-4)} = 7^3$

The answer would be 7³ if you kept the exponent, or 343 if you simplified further.

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A motor club has estimated that a 325 mile car trip will take 6 1/2 hours. What is the club assuming to be the average speed mil

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<u>Answer: </u>

The average speed that the club is assuming is 50 miles per hour

<u>Solution: </u>

We know that Distance = Speed × Time.

Here it is given that distance is 325 miles and the time to cover 325 miles is $6_{2}^{1}$ hours which is equal to $\frac{13}{2}$ hours.

Now to find the average speed mile per hour we use the formula

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