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Exponent Multiplication

A=2/3x^3, B=5/3x^4

Find AB by multiplying the two variable expressions.


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Aug 28, 2010
Exponent Multiplication
by: Staff

The question:

A=2/3x^3, B=5/3x^4
Find AB


The answer:

A = 2/3x^3, B=5/3x^4

I presume you actually mean that A is equal to two-thirds times x cubed, and B is equal to five-thirds times x to the fourth power:

A = (2/3)*x^3, B = (5/3)*x^4


A*B= [(2/3)*x^3]*[(5/3)*x^4]

A*B= [(2*5)/(3*3)]*[( x^3)*(x^4)]

A*B= [(2*5)/(3*3)]*[( x^3)*(x^4)]

A*B= [(10)/(9)]*[( x^7)]

A*B= [10/9]*[ x^7]

The final answer is: A*B= (10/9)*x^7




However, if you do mean A is equal to two divided by three times x cubed, and B is equal to five divided by three times x to the fourth power:

A = 2/(3*x^3), B = 5/(3*x^4)

A*B= [2/(3*x^3)]*[5/(3*x^4)]

A*B= (2*5)/(3 * 3 * x^3 * x^4)
A*B= 10/(9 * x^7)

The final answer is: A*B = 10/(9 * x^7)





Thanks for writing.


Staff
www.solving-math-problems.com



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