Question

divide 40m^5 ÷10m

I will mark you as brainlist answer me fast ​

Answer 1

$\displaystyle \sf{ 40 {m}^{5} \div 10m} = 4 {m}^{4}$

Given :

$\displaystyle \sf{ 40 {m}^{5} \div 10m}$

To find :

The value of the expression

Formula :

$\displaystyle \sf{ \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} }$

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

$\displaystyle \sf{ 40 {m}^{5} \div 10m}$

Step 2 of 2 :

Find the value of the expression

$\displaystyle \sf{ 40 {m}^{5} \div 10m}$

$\displaystyle \sf{ = \frac{40 {m}^{5}}{10m} }$

Now we use the formula

$\boxed{ \: \: \displaystyle \sf{ \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} } \: \: }$

$\displaystyle \sf{ 40 {m}^{5} \div 10m}$

$\displaystyle \sf{ = \frac{40 {m}^{5}}{10m} }$

$\displaystyle \sf{ = \frac{40}{10} \times \frac{{m}^{5}}{m} }$

$\displaystyle \sf{ = \frac{40}{10} \times \frac{{m}^{5}}{ {m}^{1} } }$

$\displaystyle \sf{ = 4 \times {m}^{5 - 1} }$

$\displaystyle \sf{ = 4 \times {m}^{4} }$

$\displaystyle \sf{ = 4 {m}^{4} }$

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Answer 2

Given,

40m^5 ÷10m.

To find,

The value of 40m^5 ÷10m.

Solution,

The value of 40m^5 ÷10m will be 4m^4.

We can easily solve this problem by following the given steps.

Now, we know that if the base of the two numbers is the same in multiplication then their powers are added. And if the base of the two numbers is the same in the division then their powers are subtracted. For example, the value of 5³÷5² will be 5 (5^3-2).

According to the question,

40m^5 ÷10m

Dividing 40 by 10 as the numbers can only be divided by numbers and the variables by variable,

4m^5 ÷ m

Using the rule of subtraction,

4m^ (5-1)

4m^4

Hence, the value of 40m^5 ÷10m is 4m^4.