Can You Crack This Math Expression Step by Step?

[00:00:00]Hi friends, welcome to math channel. In this video, we are going to solve three questions about PMDA's rule. In the first question, we have 1 / 8 to the^ of 2 / open parenthesis 2 - 3 over 5 close parenthesis.

[00:00:15]What is the answer of this question? In this question, we have exponent division, parenthesis, and subtraction.

[00:00:21]To solve this question, we need to follow the order of operations, which is PEMDAS. PEMDAS shows the priority of the mathematical operations. And if you don't pay attention to the PEMDAS rule, you get the wrong answer. In the PEMDAS rule, P stands for parentheses, E stands for exponent, MS stands for multiplication, D stands for division, A stands for addition and S stands for subtraction.

[00:00:49]Multiplication and division have the same level of priority. Also, addition and subtraction have the same level of priority. And when we have both in an expression we start from the left and simplify the question. Okay guys according to the pendas rule first we simplify this parenthesis. We have 2 - 3 over 5. Since the denominator of this fraction is five we can write 2 as 10 over 5. Now we have 10 5 - 3 over 5 inside this parenthesis. The question is 1 / 8 ^ of 2 / open parenthesis 10 / 5 - 3 over 5 close parenthesis. Now we have exponent division and parenthesis. In this step we simplify this parenthesis.

[00:01:32]10 over 5 - 35 = 7 over 5. Now we have 1 / 8 ^ of 2 / 7 over 5. In this step we simplify this exponent. 1 / 8 ^ of 2 = 1 / 64. Now we have 1 64 / 7 over 5. To solve this part, we need to follow the KCF rule. In the KCF rule, K stands for keep, C stands for change and FS stands for flip. We keep the first fraction as it is. After that, we change the division sign, the multiplication sign.

[00:02:11]And after that, we flip the second fraction. Now we have 1 / 64 * 5 / 7.

[00:02:18]Okay guys, 1 * 5 = 5 and 64 * 7 = 448.

[00:02:29]The final answer of this question = 5 over 448.

[00:02:34]Okay guys, let's solve another question about PMDAS rule. 2 to the^ of 2 minus open parentheses 144 / 3 * 4 close parenthesis then times 4. What is the answer of this question? In this question, we have exponents, subtraction, parenthesis, division and multiplication. Again, to solve this question, we need to follow the order of operations which is PEMDAS. PEMDAS shows the priority of the mathematical operations. And if you don't pay attention to the PEMDAS rule, you get the wrong answer. In the PEMDAS rule, P stands for parentheses, E stands for exponent, MS stands for multiplication, D stands for division, A stands for addition, and this 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 [clears throat] in an expression, we start from the left and simplify the question. According to the Pendas rule, first we simplify this parenthesis. We have division and multiplication.

[00:03:39]Because multiplication and division have the same level of priority, we start from the left and simplify.

[00:03:46]144 / 3 equals 48. Now we have 48 * 4 inside this parenthesis. The question is 2 ^ of 2 minus open parenthesis. 48 * 4 close parenthesis then times 4. Now we have exponents, subtraction, parenthesis and multiplication. Again according to the PMDAS rule, first we simplify this parenthesis. 48 * 4 = 192. Now the question is 2 ^ of 2 - 192 then* 4. Now we have exponent subtraction and multiplication.

[00:04:28]In this step, we simplify this exponent.

[00:04:31]2 ^ of 2 = 4. We have 4 - 192 then * 4.

[00:04:38]Now we have subtraction and multiplication. According to the pendas rule, multiplication has higher priority than subtraction. So first we simplify this multiplication. -192 * 4 =768.

[00:04:56]Now we have 4 - 768.

[00:05:01]4 - 768 =764.

[00:05:08]The final answer of this question equals -764.

[00:05:14]Okay guys, let's solve another question about PMDA's rule. 296 + 720 over 240 * 2 ^ of 2 - 20 / 5.

[00:05:28]What is the answer of this question? We have addition, division, multiplication, exponents, subtraction, and another division. Again, to solve this question, we need to follow the PEMDAS rule.

[00:05:40]PEMDAS shows the priority of the mathematical operations. And if you don't pay attention to the PEMDAS rule, you get the wrong answer. In this rule, P stands for parenthesis, E stands for exponent, MS stands for multiplication, D stands for division, A stands for addition, and SS stands for subtraction. As you know, 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.

[00:06:11]According to the Pendas rule, first we simplify this exponent. 2 ^ of 2 = 4.

[00:06:17]Now we have 296 + 720 over 240 * 4 - 20 divided by 5. We have addition, division, multiplication, subtraction and another division.

[00:06:29]In this step, we simplify this division.

[00:06:33]720 over 240 = 3. Now we have 296 + 3 * 4 - 20 then divided by 5. Now we have addition, multiplication, subtraction and division. According to the PMDAS rule, first we simplify this multiplication. 3 * 4 = 12. Now we have 296 + 12 - 20 divided by five. We have addition, subtraction, and division. In this step, we simplify this division.

[00:07:10]-20 / 5 = -4.

[00:07:15]Now we have 296 + 12 then - 4. Okay guys, 296 + 12 = 38.

[00:07:28]Now the question is 38 - 4. 38 - 4 = 304.

[00:07:39]The final answer of this question equals 304.

[00:07:44]Guys, if you want to get the right answer of this question, you must follow the PEMDAS rule. If you don't pay attention to the PEMDAS rule, you get the wrong answer. Thanks for watching, guys. Please subscribe to the channel and leave a comment. Goodbye.