Question

As the connected complexity of mathematical concepts evolve, your mathematical knowledge evolves as well. Previous knowledge provides the necessary skills to acquire new learning. Rewrite each the following expressions using the properties of exponents. a. (526-4) (365)-2 b. 2-3(x²)-?y32 xy-424 3 -2/3 22-243 1-577 d. Q6 27

Answer 1

a)

`(5^2b^(-4))^3(3b^5)^{\text{- 2}}`

We would simplify by applying the following laws of exponents

a^b * a^c = a^(b + c)

(a^b)^c = a^(bc)

BY applying these laws, we have

(5^6b^-12)(3^-2b^-10)

Recall,

a^-1 = 1/a

a^-2 = 1/a^2

Thus, we have

(15625b^-12)(1/3^2b^-10)

= 15625/9 * b^(- 12 - 10)

= 15625/9(b^-22)