Math

QuestionHow long in minutes does a snail take to cross a 1.3121.3^{12} foot road at 1.3 feet/min? Answer with exponents.

Studdy Solution

STEP 1

Assumptions1. The width of the road is 1.3121.3^{12} feet. The speed of the snail is1.3 feet per minute

STEP 2

To find out how many minutes it takes for the snail to cross the road, we need to divide the total distance by the speed of the snail.
Time=DistanceSpeedTime = \frac{Distance}{Speed}

STEP 3

Now, plug in the given values for the distance and speed to calculate the time.
Time=1.3121.3Time = \frac{1.3^{12}}{1.3}

STEP 4

implify the expression. When you divide a number with an exponent by the same number, you subtract the exponent by1.
Time=1.3121Time =1.3^{12-1}

STEP 5

Calculate the time.
Time=1.311Time =1.3^{11}It takes the snail 1.3111.3^{11} minutes to cross the road.

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