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Viktor [21]
3 years ago
15

What is the cube root of 216x^9y^18?

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
8 0

Answer:

The cube root of given expression is 6x^3y^6.

Step-by-step explanation:

The given expression is

\sqrt[3]{216x^9y^{18}}

It can be written as

Use the exponent property: a^{mn}=(a^m)^n

\sqrt[3]{216x^9y^{18}}=\sqrt[3]{6^3(x^3)^3(y^6)^{3}}

\sqrt[3]{216x^9y^{18}}=\sqrt[3]{(6x^3y^6)^{3}}

\sqrt[3]{216x^9y^{18}}=6x^3y^6

Therefore the cube root of given expression is 6x^3y^6.

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