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((5)^(2) +(7)^(0) )*(5^(3)) /((5)/(3) )^(-1)

if possible please provide a step by step explanation for my understanding :)

User Patrick Kelly
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2 Answers

9 votes
9 votes
The answer is 16250/3
User Artem M
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22 votes
22 votes

Answer:

16250/3 or 5416.6666...

Explanation:

((5)^2 +(7)^0) * (5^3)/(5/3)^-1

Step 1: You need to solve the numbers in the brackets first.

(5)^2 = 25 You do 5*5=25

(7)^0 = 1 Every number to the power 0 is equal to 1

(5^3) = 125 You do 5*5*5=25*5=125

(5/3)^-1 = (3/5) Since it is a fraction to the negative power, to remove the negative you do the reciprocal of the fraction which is putting the denominator as the numerator and the numerator as the denominator. Then you are left with (3/5)^1 and every number to the power one is that number.

Now we are left with (25+1) * 125/(3/5)

We still have (25+1)=26 We don't solve the (3/5) because the brackets is there to show that 26*125 is being divided by the fraction 3/5 not being divided by 3 then 5.

So with all the brackets solved

Step 2: Now you do the multiplication

26*125/(3/5)

26*125=3250 You get 26*125 as it is the only multiplication.

Now we are left with 3250/(3/5)

Step 3: You solve the division

3250/(3/5) When you have a number divided by a fraction you

=3250*(5/3) must change it to multiplication by doing the reciprocal

=16250/3 of the fraction (defined in step 1) and change from doing

or division to multiplication. Then you multiply the = 5416.66... numerators (3250*5=16250) and you are left with 16250/3.

If you want it in decimals you divide the numerator to the denominator 16250/3=5416.66...

User Miklosme
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