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sweet-ann [11.9K]
4 years ago
10

What is [(7x^3)(y^2)]^2/7 in radical form?

Mathematics
1 answer:
GuDViN [60]4 years ago
8 0
Remember
x^ \frac{m}{n} = \sqrt[n]{x^m}
and
(zy)^m=(z^m)(y^m)
and
(x^m)^n=x^(mn)

so
((7x^3)(y^2))^ \frac{2}{7} = \sqrt[7]{((7x^3)(y^2))^2}=
\sqrt[7]{((7x^3)^2(y^2)^2)}=
\sqrt[7]{((7^2x^6)(y^4))}=
\sqrt[7]{((49x^6)(y^4))}=
\sqrt[7]{49x^6y^4}
You might be interested in
x ≡ 185 (mod 2) x ≡ 185 (mod 3) x ≡ 26 (mod 3) x ≡ 26 (mod 5) x ≡ −9 (mod 2) x ≡ −9 (mod 5) −→ x ≡ 1 (mod 2) x ≡ 2 (mod 3) x ≡ 2
Free_Kalibri [48]

Answer:

The  latex conversion is given below.

Step-by-step explanation:

Given,

x \equiv 26(mod 2)

x \equiv 185(mod 3)

x \equiv 26(mod 3)

x \equiv 26(mod 5)

x \equiv -9(mod 2)

x \equiv -9(mod 5)

\rightarrow x \equiv 1(mod 2)

x \equiv 2(mod 3)

x \equiv 1(mod 5)

\rightarrow x \equiv 1(mod 2)

To write in latex the language wll be,

$x \equiv 26$$($mod $2)$

$x \equiv 185 $$($mod 43)$

$ x \equiv 26$$($mod $3)$

$x \equiv 26$$($mod $5)$

$x \equiv -9$$($mod $2)$

$x \equiv -9$$($mod $5)$

$\rightarrow x \equiv 1$$($mod $2)$

$x \equiv 2$$($mod $3)$

$x \equiv 1$$($mod $5)$

$\rightarrow x \equiv 1$$($mod $2)$

Since all mathematical terms coverred by $$.

6 0
3 years ago
Which expression is equivalent to
pychu [463]

Answer:

Step-by-step explanation:

i cannot find an answer from the expression but i can guess if you didnt follow pemdas, it would be d

3.5 × 102  is 357

(8 × 10−4) + (6 × 10−4)  is 132

132/357= .369 or .37 or 0 simplified

d is 4*10-10

10-10 is 0

4*0 is 0

8 0
3 years ago
Helpppppppppppppppppppppppppppppppppppppppppp
tester [92]
I think the greatest number of students that can be in each row is 18.

you start by finding the highest common factor of 90 and 72

so it means that the teacher will end up with 5 rows of boys and 4 rows of girls with 18 students in each row.
5 0
3 years ago
You have 15 milliliters of a drink that contains 15% milk. How many millimeters of a drink containing 63% milk needs to be added
Igoryamba

Answer:

4 ml of the 63% milk drink

Step-by-step explanation:

Multiplying 15 ml by 0.15 results in 2.25 ml, the amount of whole milk in the drink.  Let m represent the number of ml of a drink that is 63% milk.

The final amount of milk drink that is to be 45% milk will be 15 ml + m, and the amount of whole milk contained in this drink will be 0.45(15 + m).

Then:

0.15(15 ml) + 0.63(m) = 0.45(15 + m), where m is to be in milliliters.

2.25 + 0.63m = 6.75 + 0.45m

First:  consolidate the m terms on the left.  0.63m less 0.45m yields 18 m; then we have:

2.25 + 18m = 6.75, or

18 m = 4.50, or m = 4 ml.

In conclusion:  adding 4 ml of that 63% milk drink to the initial 15 ml of 15% milk will result in (15 ml + 4 ml) of a 45% milk drink.            

8 0
3 years ago
If you have a 3 sided triangle, with the legs labeled P, Q, and R, find the length of the side PQ. Include all workings!
WINSTONCH [101]
Measure which ever side of the triangle and that’ll be the length of pq
6 0
4 years ago
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