Question

Multiplying with Exponents using product and power rule. Please solve step by step. Thanks

Answer 1

*Raise each factor to the power


-8x^15y^21+7x^15y^21


*Collect like terms

-x^15y^21


Solution

-x^15 y^21

Answer 2

`-x^(15)y^(21)`

Explanation:

To simplify the given expression, use exponent rules.

Given expression:

`\left(-2x^5y^7\right)^3+7x^(15)y^(21)`

`\textsf{Apply the exponent rule:} \quad (a^b)^c=a^(bc)`

`\implies (-2)^3x^((5 \cdot 3))y^((7\cdot3))+7x^(15)y^(21)`

Simplify:

`\implies -8x^(15)y^(21)+7x^(15)y^(21)`

Factor out the common term x¹⁵y²¹:

`\implies \left(-8+7\right)x^(15)y^(21)`

Simplify:

`\implies \left(-1\right)x^(15)y^(21)`

`\implies -x^(15)y^(21)`