Question

Multiply : (7x²y³) (−5x⁴y⁷)

Answer 1

Here it is given that,

$(7x^2y^3)(-5x^4y^7)$

As we have to multiply the given expression,

Grouping the like terms, we get

$=>(7)\times(-5)(x^2x^4)(y^3y^7)$

If we multiply any two components having the same bases then we have to add their powers,

If we divide any two components having the same bases then we have to subtract their powers,

$=>(-35)(x^{2+4})(y^{3+7})$

$=>(-35)(x^6)(y^{10})$

So, it is written as

$=>-35x^6y^{10}$

Hence, the required solution is $-35x^6y^{10}.$

Answer 2

Answer:

According to given question we have to perform multiplication of algebraic terms.

(7x²y³) (−5x⁴y⁷)

arranging like terms together we get ,

⇒ $[ 7\times (-5) ]$ $[ x^{2} \times x^{4} ] [ y^{3} \times y^{7} ]$

⇒ $- 35x^{6} y^{10}$

(∵ according law of indices , we know that if base are same then powers are added. hence added powers of like terms )

hence  $- 35x^{6} y^{10}$  is the required answer.