The expression equivalent to 4^-5 • 3^-5 is 12^-5
<h3>What are equivalent expressions?</h3>
Equivalent expressions are simply known as expressions with the same solution but different arrangement.
Given the index expressions;
4^-5 • 3^-5
Using the exponent rule, the two values are have different bases but the same exponent and thus, we multiply the bases and leave the exponents the same way.
This can be written as;
4(3) ^ -5
expand the bracket
12^-5
Thus, the expression equivalent to 4^-5 • 3^-5 is 12^-5
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Answer:
514 days
Step-by-step explanation:
We use the formula (r+n-1)/r(n-1)
There are 1540 combinations. Then, we'll divide them by three because were not just finding the amount of combinations, but the time it'd take to play them all.
We get 513.333(cont.)
thats not really possible, so we're gonna go with 514 instead, rounding up. Normally we'd round down, because the number behind the decimal is below 5, but we really want to make sure we get every combination in there.
Hope this is helpful!
Answer: 54.17
Step-by-step explanation:
Their houses are nine miles away from each other. Mark rides his bike at a rate of twelve miles per hour. Each hour consists of sixty minutes; therefore I would do 60/12 to get five, representing him being able to do one mile in five minutes. Hence, you shall perform 9*5 or nine times five to get the answer of fourty-five minutes.
12 MILES PER HOUR
60 divided by 12 = 5 minutes
ONE MILE PER 5 MINUTES
9 multiplied by 5 = 45 minutes
I hope this helps.