Simplify the radical expression.

Mathematics

2 answers:

Liula [17]2 years ago

6 0

Answer:

$xy^3\sqrt[4]{y^3}$

Step-by-step explanation:

$\sqrt[4]{x^4y^{15}} =\sqrt[4]{x^4}*\sqrt[4]{y^{15}}\\\\=x\sqrt[4]{y^{15}}\\\\=x(\sqrt[4]{y^{12}} *\sqrt[4]{y^3})\\\\=xy^3\sqrt[4]{y^3}\\\\\\\sqrt[4]{y^{12}} =y^{12/4}=y^3 \\\\\sqrt[4]{x^4} =x^{4/4}=x$

ankoles [38]2 years ago

5 0

Answer:

$xy^3 \sqrt[4]{y^3}$

Step-by-step explanation:

Recall the exponent property $a^b+a^c=a^{(b+c)}$ .

We can use this property to break the problem down:

$\sqrt[4]{x^4y^{15}}=\sqrt[4]{x\cdot x\cdot x\cdot x\cdot y^3\cdot y^3\cdot y^3\cdot y^3\cdot y^3}=\boxed{xy^3 \sqrt[4]{y^3}}$

You might be interested in

Can someone tell me what x equals

Troyanec [42]

X=22. The supplementary angle is 90°, so the 66° angle, plus (x+2) has to add up to 90° too.

4 0

2 years ago

A funnel has a diameter of 9 in. and is 16 in. tall a plug is put at the open end of the funnel what it the volume of the cone

SCORPION-xisa [38]

The volume of the cone by definition is given by:
V = (pi * r ^ 2 * h) / 3
Where,
h: height
r: radio
Substituting the values we have:
V = (pi * (9/2) ^ 2 * (16)) / 3
V = 339.2920066 in ^ 3
Rounding:
V = 339.3 in ^ 3
Answer:
the volume of the cone is:
V = 339.3 in ^ 3

5 0

2 years ago

5 groups of 2 hundredths =

dezoksy [38]

5x0.02=10 hope this helps! :)

7 0

2 years ago

What is the decimal equivalent of 13/4?

Gelneren [198K]

Answer:

3.25

hope this helped!!