How do you simplify $(6x^4y^8)^3$ ?

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Answer 1 · 2016-02-29T17:32:07

$216 x^12 y^24$

$(6x^4y^8)^3$

Applying exponential rule, $(a\cdot b)^n=a^nb^n$

$=6^3(x^4)^3(y^8)^3$

$($ $(x^4)^3=x^12 and (x^8)^3 =x^24$ by applying exponent rule: $(a^b)^c=a^{b\cdot \c}$ $)$

$=6^3x^{12}y^{24}$

( $6^3=216$ )

$=216x^{12}y^{24}$

How do you simplify (6x^4y^8)^3(6x^4y^8)^3?