Write -74-76in exponential form-

Given expression : ( 7)^4×( 7)^6We know that, a^m×a^n=a^m+nSo, ( 7)^4×( 7)^6 = ( 7)^4+6=( 7)^10Hence, ( 7)^4×( 7)^6can be written ( 7)^10in exponential form. ...

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Standard XII

Mathematics

Properties of Cube Root of a Complex Number

Write -74×-76...

Question

Write ${(- 7)}^{4} \times {(- 7)}^{6}$ in exponential form.

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Solution

Given expression : ${(- 7)}^{4} \times {(- 7)}^{6}$
We know that, $a^{m} \times a^{n} = a^{m + n}$
So, ${(- 7)}^{4} \times {(- 7)}^{6}$ $= {(- 7)}^{4 + 6} = {(- 7)}^{10}$
Hence, ${(- 7)}^{4} \times {(- 7)}^{6}$ can be written ${(- 7)}^{10}$ in exponential form.

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Write (-7)4×(-7)6in exponential form.

Given expression : (-7)4×(-7)6We know that, am×an=am+nSo, (-7)4×(-7)6 =(-7)4+6=(-7)10Hence, (-7)4×(-7)6can be written (-7)10in exponential form.

Write ${(- 7)}^{4} \times {(- 7)}^{6}$ in exponential form.

Given expression : ${(- 7)}^{4} \times {(- 7)}^{6}$
We know that, $a^{m} \times a^{n} = a^{m + n}$
So, ${(- 7)}^{4} \times {(- 7)}^{6}$ $= {(- 7)}^{4 + 6} = {(- 7)}^{10}$
Hence, ${(- 7)}^{4} \times {(- 7)}^{6}$ can be written ${(- 7)}^{10}$ in exponential form.