Question

Simplify the expression. 12x^-6 y^10 times 3x^7 y

Answer 1

We need to simplify the expression:

$12x^{-6}y^{10} \times (3x^{7}y)$

Now, we know that we can resolve the exponents of the variables with the like terms only and we can multiply the coefficients independently:

Now,  

$12x^{-6}y^{10} \times 3x^{7}y=(12 \times 3)\times (x^{-6}\times x^{7})\times (y^{10}\times y)$

On simplifying the above expression we get:

$36\times x^{(-6+7)}\times y^{(10+1)}$

$=36 \times x^{1}\times y^{11}$

$=36 \times x \times y^{11}$

$=36xy^{11}$

So the simplified form of the expression $12x^{-6}y^{10} \times 3x^{7}y=36xy^{11}$.