Mathematics: Describe how you would use the rules of exponents to simplify (7x?yz) 3. You may indicate an exponent in your answer with ^. For example, 3x2 y?as 3x^2y^2

Describe how you would use the rules of exponents

ferny5133

24.01.2022

343x^6y^3z^3

Step-by-step explanation:

One of the rules of exponents demands:

(abc)^m=a^mb^mc^m

where a, b, c and m are coefficients.

Furthermore, you use the following rule for exponents of variables that already have an exponent:

$(a^n)^m=a^{m*n}$

Thus, you can apply this rules in the following way:

$(7x^2yz)^3=(7)^3(x^2)^3(y)^3(z)^3=7*7*7x^{2*3}y^3z^3=343x^6y^3z^3$

hence, the answer is 343x^6y^3z^3

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stevencardona12mejia

28.04.2021

$1\dfrac13$ hours

Step-by-step explanation:

Lily's goal to walk = 6 miles

Lily has walked 2 miles.

Let h= number of hours it will take Lily to reach her goal.

She walk 3 miles an hour.

Total miles she can walk in h hour = 3h

According to the question,

3h +2 = 6 (Required equation)

Subtract 2 from both sides , we get

3h = 4

Divide both sides by 3 , we get

$h=\dfrac43=1\dfrac{1}{3}$

Hence, it will take $1\dfrac13$ hours to reach her goal.

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