Question

Simplify: (5x^6y^-4)^3(2x^8y^3)

Answer 1

Simplifying  $(5x^6y^{-4})^3(2x^8y^3)$ we get $250x^{26}y^{-9}$

Step-by-step explanation:

We need to simplify: $(5x^6y^{-4})^3(2x^8y^3)$

Simplifying:

$(5x^6y^{-4})^3(2x^8y^3)$

Using exponent rule: $(a^b)^c= a^{b*c}$ and another rule: $x^y.x^z= x^{y+z}$

$=(5^3x^{6*3}y^{-4*3})(2x^8y^3)\\=125x^18y^{-12}(2x^8y^3)\\=250x^{18+8}y^{-12+3}\\=250x^{26}y^{-9}$

So, simplifying  $(5x^6y^{-4})^3(2x^8y^3)$ we get $250x^{26}y^{-9}$

Keywords: Exponents

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