Only Math Geniuses Solve This PEMDAS Equation Correctly!

Added: 2026-05-11

[00:00:00]Hi friends, welcome to turbomath channel. In this video we are going to solve three questions about PEMDAS rule.

[00:00:08]In the first question we have 11 to the power of two minus open parentheses 153 divided by three times two close parentheses then times two.

[00:00:19]What is the answer of this question? Can you solve it? We have exponents, subtraction, parentheses, division, and multiplication.

[00:00:28]To solve this question we need to follow the order of operations which is PEMDAS.

[00:00:34]PEMDAS shows the priority of the mathematical operations and if you don't pay attention to the PEMDAS rule, you get the wrong answer.

[00:00:42]In the PEMDAS rule, P stands for parentheses, E stands for exponents.

[00:00:48]M stands for multiplication, D stands for division.

[00:00:53]A stands for addition and S stands for subtraction.

[00:00:58]Multiplication and division have the same level of priority.

[00:01:01]Also addition and subtraction have the same level of priority.

[00:01:05]When we have both in an expression, we start from the left and simplify the question. Okay, guys.

[00:01:11]According to the PEMDAS rule, first we simplify these parentheses. Inside these parentheses we have division and multiplication.

[00:01:18]Because division and multiplication have the same level of priority, we start from the left and simplify the question.

[00:01:25]153 divided by three equals 51.

[00:01:29]Now we have 51 times two inside these parentheses and the question is 11 to the power of two minus open parentheses 51 times two close parentheses then times two.

[00:01:42]Okay, guys.

[00:01:43]Again, we simplify these parentheses.

[00:01:46]51 times two equals 102.

[00:01:51]Now we have 11 to the power of two minus 102 then times two.

[00:01:57]We have exponents, subtraction, and multiplication. In this step, we simplify this exponent.

[00:02:04]11 to the power of two equals 121.

[00:02:09]Now, we have 121 minus 102 then times two.

[00:02:16]Now, we have subtraction and multiplication. According to the PEMDAS rule, multiplication has higher priority than subtraction. So, first, we simplify this multiplication. -102 * 2 = -204.

[00:02:33]Now, we have 121 - 204.

[00:02:39]121 - 204 = -83.

[00:02:45]The final answer of this question equals -83.

[00:02:49]Okay, guys. Let's solve another question about PEMDAS rule.

[00:02:54]3/8 to the power of two times open parentheses 8 + 2/3 close parentheses.

[00:03:00]What is the answer of this question? Can you solve it? We have exponent, multiplication, parentheses, and addition.

[00:03:07]Again, to solve this question, we need to follow the order of operations, which is PEMDAS.

[00:03:13]PEMDAS shows the priority of the mathematical operations. If you want to get the right answer of this question, you must follow the PEMDAS rule.

[00:03:21]In the PEMDAS rule, P stands for parentheses, E stands for exponents, M stands for multiplication, D stands for division, A stands for addition, and S stands for subtraction. Multiplication and division have the same level of priority. Also, addition and subtraction have the same level of priority. When we have both in an expression, we start from the left and simplify the question.

[00:03:48]According to the PEMDAS rule, first, we simplify this parentheses. Inside this parentheses, we have 8 + 2 over 3. Since the denominator of this fraction is 3, we can write 8 as 24 over 3. Now, we have 24 over 3 + 2 over 3 inside this parentheses.

[00:04:08]Okay, guys. Now, the question is 3 over 8 to the power of 2 * open parentheses 24 over 3 + 2 over 3 close parentheses.

[00:04:18]In this step, we simplify this parentheses.

[00:04:21]24 over 3 + 2 over 3 equals 26 over 3.

[00:04:27]Now, the question is 3 over 8 to the power of 2, then times 26 over 3. Okay, guys.

[00:04:34]Now, we have exponents and multiplication. In this step, we simplify this exponents. 3 over 8 to the power of 2 equals 9 over 64. Now, we have 9 over 64 * 26 over 3.

[00:04:53]9 / 3 = 3, and 3 / 3 = 1.

[00:04:59]26 / 2 = 13, and 64 / 2 = 32.

[00:05:09]Now, the question is 3 over 32 * 13 over 1. Okay, guys.

[00:05:15]3 * 13 = 39. And 32 * 1 = 32.

[00:05:23]The final answer of this question equals 39 over 32. Okay, guys. Let's solve another question about PEMDAS rule.

[00:05:32]216 - 216 * 4, then over open parentheses 18 - 15 close parentheses, then all of them to the power of 2.

[00:05:44]What is the value of this expression?

[00:05:46]Can you solve it? We have subtraction, multiplication, division, parentheses, and exponents.

[00:05:52]Again, to solve this question, we need to follow the order of operations, which is PEMDAS.

[00:05:58]PEMDAS shows the priority of the mathematical operations. If you want to get the right answer of this question, you must follow the PEMDAS rule.

[00:06:06]In this rule, P stands for parentheses.

[00:06:10]E stands for exponents.

[00:06:13]M stands for multiplication.

[00:06:15]D stands for division.

[00:06:18]A stands for addition, and S stands for subtraction.

[00:06:23]As you know, multiplication and division have the same level of priority. Also, addition and subtraction have the same level of priority.

[00:06:29]When we have both in an expression, we start from the left and simplify the question. Okay, guys.

[00:06:35]Let's simplify and solve this question step-by-step together.

[00:06:39]We have 216 - 216 * 4 then divided by open parentheses 18 - 15 close parentheses, then all of them to the power of two.

[00:06:52]First, we simplify these parentheses.

[00:06:54]Inside these parentheses, we have subtraction and multiplication.

[00:06:58]According to the PEMDAS rule, multiplication has higher priority than subtraction. So, first, we simplify this multiplication. -216 * 4 = -864.

[00:07:13]Now, we have 216 - 864.

[00:07:19]216 - 864 = -648.

[00:07:28]Okay, guys. Now, we have -648 divided by open parentheses 18 - 15 close parentheses, then all of them to the power of two. Okay, guys.

[00:07:39]In In step, we simplify this parenthesis.

[00:07:43]18 - 15 = 3.

[00:07:46]Now we have -648 / 3 ^ 2.

[00:07:52]3 ^ 2 = 9.

[00:07:55]Now we have -648 / 9.

[00:08:02]-648 / 9 = -72.

[00:08:09]The final answer of this question equals -72.

[00:08:13]Thanks for watching, guys. Please subscribe to the channel and leave a comment. Goodbye.