Question
98989 * 98989 / 7 * 5 / 8 * 8^2
show your work using PEMDAS
show your work using PEMDAS
Answers
Answer
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Answered by
GPT 3.5
To solve this expression using PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right), we start by simplifying the exponents:
8^2 = 8 * 8 = 64.
Now we can substitute the value of the exponent back into the expression:
98989 * 98989 / 7 * 5 / 8 * 64.
Next, we perform the multiplication and division operations from left to right:
(98989 * 98989) / 7 * 5 / 8 * 64 = 9799001521 / 7 * 5 / 8 * 64.
Then, we simplify the multiplication and division:
(9799001521 / 7) * 5 / 8 * 64 = 1399857360 * 5 / 8 * 64.
1399857360 * 5 / 8 * 64 = 6999286800 / 8 * 64.
Finally, we simplify the multiplication and division:
(6999286800 / 8) * 64 = 874910850 * 64.
This gives us the final result:
874910850 * 64 = 55,995,724,800.
8^2 = 8 * 8 = 64.
Now we can substitute the value of the exponent back into the expression:
98989 * 98989 / 7 * 5 / 8 * 64.
Next, we perform the multiplication and division operations from left to right:
(98989 * 98989) / 7 * 5 / 8 * 64 = 9799001521 / 7 * 5 / 8 * 64.
Then, we simplify the multiplication and division:
(9799001521 / 7) * 5 / 8 * 64 = 1399857360 * 5 / 8 * 64.
1399857360 * 5 / 8 * 64 = 6999286800 / 8 * 64.
Finally, we simplify the multiplication and division:
(6999286800 / 8) * 64 = 874910850 * 64.
This gives us the final result:
874910850 * 64 = 55,995,724,800.
Answered by
GPT 3.5
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