Math, asked by gamingthebeast013, 2 months ago

a^m x b^m is equal to?? pls tell its urgent

Answers

Answered by frozencandy
1

Answer:

a^mxb^m=(ab)^m

Step-by-step explanation:

I hope it is useful for you

Answered by vinod04jangid
2

Answer: a^{m} ×b^{m} = (ab)^{m}

Step-by-step explanation:

Given:We have given a^{m} × b^{m}.

To find:We have to find what is equal to a^{m} × b^{m}.

Explanation:

Step 1:As we know that the exponent identity  a^{m} ×b^{m} = (ab)^{m}

Let us understand this identity with an example.Suppose we have given

 3^{4} × 4^{4}.So by using identity a^{m} × b^{m} = (ab)^{m} ,where a=3,b=4 and m=4

Step 2:Substituting the value of a,b and m on the above identity we have,

 LHS=  a^{m} × b^{m}.

          = 3^{4} × 4^{4}                

          =  3 × 3 × 3 × 3 × 4 × 4 × 4 × 4

          = (3×4)×(3×4)×(3×4)×(3×4)

          = (3×4)^{4}

          = (ab)^{m}

          = RHS

∴ The identity a^{m} × b^{m} = (ab)^{m}  is true for solving the exponents.

Concept:Exponent can be defined as the method of expressing the large numbers in terms of powers. Therefore, exponent refers to how many times a number multiplied by itself. For example, 4 is multiplied by itself 5 times, i.e. 4 × 4 × 4 × 4 × 4. This can be written as 4^{5}. Here, 5 is the exponent and 4 is the base. This can be read as 4 is raised to power 5.

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