The expression we have is:
[tex]3x^4\cdot5x^3y[/tex]
To simplify this expression, we will use the following property of exponents:
[tex]x^n\cdot x^m=x^{m+n}[/tex]
We add the exponents when we multiply variables.
But first, we have to multiply the coefficients, since 3*5 is equal to 15, we have:
[tex]3x^4\cdot5x^3y=15(x^4\cdot x^3y)[/tex]
And now we do apply the rule we mentioned for multiplying variables.
We add the exponents 4 and 3 of the x:
[tex]3x^4\cdot5x^3y=15x^{4+3}y[/tex]
Since 4+3 is equal to 7, we have the final answer:
[tex]3x^4\cdot5x^3y=15x^7y[/tex]
