amariahfrench
Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Explore a wealth of knowledge from professionals across various disciplines on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Complete the equation, by supplying the missing exponent.
m•n2•m3= m 11n2

Sagot :

Given:

Consider the given equation is:

[tex]m^?\cdot n^2\cdot m^3=m^{11}\cdot n^2[/tex]

To find:

The missing exponent.

Solution:

Let x be the missing exponent. Then the given equation can be written as

[tex]m^x\cdot n^2\cdot m^3=m^{11}\cdot n^2[/tex]

It can be rewritten as:

[tex](m^x\cdot m^3)\cdot n^2=m^{11}\cdot n^2[/tex]

[tex]m^{x+3}\cdot n^2=m^{11}\cdot n^2[/tex]      [tex][\because a^ma^n=a^{m+n}][/tex]

On comparing the coefficient of m, we get

[tex]x+3=11[/tex]

[tex]x=11-3[/tex]

[tex]x=8[/tex]

Therefore, the value of the missing exponent is 8. So, the complete equation is [tex]m^8\cdot n^2\cdot m^3=m^{11}\cdot n^2[/tex].

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.