- -x-mx-n-m-n-x-nx-l-n-l-x-lx-m-l-m-

(x^mx^n)^m+n×(x^nx^l)^n+l×(x^lx^m)^l+m [x^mx^n=x^m n] [(x)^m n]^m+n×[(x)^n l]^n+l×[(x)^l m]^l+m [x^m× x^n=x^m+n] amp; [(a+b)(a b)=a ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Dividing Terms with the Same Exponent

(x^mx^n)^m+n×...

Question

${(\frac{x^{m}}{x^{n}})}^{m + n} \times {(\frac{x^{n}}{x^{l}})}^{n + l} \times {(\frac{x^{l}}{x^{m}})}^{l + m}$ .

Open in App

Solution

Suggest Corrections

Similar questions

\frac{x^{m + n} \times x^{n + 1} \times x^{l + m}}{{(x^{m} \times x^{n} \times x^{l})}^{2}} = 1

\frac{3^{x + 1}}{3^{x (x + 1)}} \times {(\frac{3^{x}}{3})}^{x + 1} = 1

{(\frac{x^{m}}{x^{m}})}^{m + n} \cdot {(\frac{x^{n}}{x^{l}})}^{n + l} \cdot {(\frac{x^{l}}{x^{m}})}^{l + m} = 1

a = x^{m + n} y^{l}, b = x^{n + l} y^{m} and c = x^{l + m} y^{n}

a^{m - n} b^{n - l} c^{l - m} = 1

x = a^{m + n}, y = a^{n + l} and z = a^{l + m}

x^{m} y^{n} z^{l} = x^{n} y^{l} z^{m}

Solve:

$(\frac{x^{m}}{x^{- n}})^{m - n} \times (\frac{x^{n}}{x^{- l}})^{n - l} \times (\frac{x^{l}}{x^{- m}})^{l - m}$

a = x^{m + n} . y^{l}; b = x^{n + l} . y^{m}

c = x^{l + m} . y^{n}

a^{m - n} . b^{n - l} . c^{l - m} = 1

Join BYJU'S Learning Program