Asked by Daniel
what is the simplified form of the expression?
(3c^2d^4)^3(2c^5d^8)^3
(3c^2d^4)^3(2c^5d^8)^3
Answers
Answered by
MathMate
Use the laws of exponents:
Laws of exponents:
x<sup>a</sup> * x<sup>b</sup> = x<sup>a+b</sup>
x<sup>a</sup> / x<sup>b</sup> = x<sup>a-b</sup>
(x<sup>a</sup>)<sup>b</sup> = x<sup>ab</sup>
I'll solve the left part:
(3c^2d^4)^3
=3^3 * (c²)^3 * (d⁴)^3
=27 * c^(2*3) * d^(4*3)
=27 c^6 d^12
Laws of exponents:
x<sup>a</sup> * x<sup>b</sup> = x<sup>a+b</sup>
x<sup>a</sup> / x<sup>b</sup> = x<sup>a-b</sup>
(x<sup>a</sup>)<sup>b</sup> = x<sup>ab</sup>
I'll solve the left part:
(3c^2d^4)^3
=3^3 * (c²)^3 * (d⁴)^3
=27 * c^(2*3) * d^(4*3)
=27 c^6 d^12
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