(2x3z2)3 ------------------ x3y4z2 * (x-4z3)

1 answer:

8 0

The rules of exponents tell you to add exponents in the numerator and subtract those in the denominator. A power of a power causes the exponent to be multiplied.

$\dfrac{(2x^{3}z^{2})^{3}}{x^{3}y^{4}z^2x^{-4}z^{3}}=2^{3}x^{(3\cdot3-3-(-4))}y^{-4}z^{(2\cdot3-2-3)}\\\\=\dfrac{8x^{10}z}{y^{4}}$

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Step-by-step explanation:

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A house blueprint has a scale of 1 in. : 4 ft. The length and width of each room in the actual house are shown in the table. Com

Mariulka [41]

We know that
scale------------> 1 in/4 ft
[blueprint]=scale*[actual]

Part 1) Living room
lenght (20 ft) -------------> [blueprint]=(1/4)*20=5 in
width (8 ft) ----------------> [blueprint]=(1/4)*8=2 in

Part 2) Kitchen
length (16 ft) -------------> [blueprint]=(1/4)*16=4 in
width (16 ft) ----------------> [blueprint]=(1/4)*16=4 in

Part 3) Office
length (8 ft) -------------> [blueprint]=(1/4)*8=2 in
width (16 ft) ----------------> [blueprint]=(1/4)*16=4 in

Part 4) Bedroom 1
length (8 ft) -------------> [blueprint]=(1/4)*8=2 in
width (16 ft) ----------------> [blueprint]=(1/4)*16=4 in

Part 5) Bedroom 2
length (20 ft) -------------> [blueprint]=(1/4)*20=5 in
width (20 ft) ----------------> [blueprint]=(1/4)*20=5 in

Part 6) Bathroom
length (6 ft) -------------> [blueprint]=(1/4)*6=1.5 in
width (8 ft) ----------------> [blueprint]=(1/4)*8=2 in

see the attached figure to view the table