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Gennadij [26K]
4 years ago
14

Match the numerical expressions to their simplified forms.

Mathematics
2 answers:
a_sh-v [17]4 years ago
7 0

If you find problem respond me

zlopas [31]4 years ago
5 0

Answer:

See below in bold.

Step-by-step explanation:

(pq^3)^ 1/2 /  (pq)^-1/2

= p^1/2 q ^3/2  / p^-1/2 q^-1/2

= p^(1/2 - -1/2) q ^(3/2 - - 1/2)

= pq^2

[p^5 / (p^-3 q^-4)]^1/4

= p^5/4  / (p^-3/4 q^-1)

= p^(8/4) q

= p^2q.

[(p^2 q^7) / q^4]^1/2

= (p^2 q^3)^1/2

= pq^3/2.

(p^6 q^3/2)^1/3

= p^(6*1/3) q^(3/2 * 1/3)

= p^2q^1/2.

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Step-by-step explanation:

Length of side PS can be calculated using the distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

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