Question

(x Simplify the expression using the laws of exponents.

24a²b^5c³
9a5b3c6
X
X
*
A
B
C
D
E
862
3a³c3
86²a³c³
3
8a768c9
3
8a2/565/31/2
3
8a5/265/31/2
3

Answer 1

A. 8b²/(3a³c³)

Explanation:

You want the simplified form of (24a²b⁵c³)/(9a⁵b³c⁶).

Simplify

Using the laws of exponents, we can write the expression as ...

`=(24)/(9)(a^(2-5)b^(5-3)c^(3-6))=(8)/(3)a^(-3)b^2c^(-3)=\boxed{(8b^2)/(3a^3c^3)}\qquad\text{matches choice A}`

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Additional comment

The exponent rules we used are ...

(a^b)/(a^c) = a^(b-c)

a^-b = 1/a^b

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