3√-108a^4 b^3 can any one
class 9
Answers
Answer:
a to the power 4 b cube
To find:
Simplify cube root -108 a to the power 4 b cube in the simplest form
Solution:
From given, we have an equation,
cube root -108 a to the power 4 b cube
cube root of a negative number is a negative number.
∴ cube root -108 a to the power 4 b cube =
- cube root 108 a to the power 4 b cube
cube root of (b cube) = b
cube root of (a to the power 4) = \sqrt[3]{a^4}= \sqrt[3]{a^3 \times a}= a\sqrt[3]{a}
3
a
4
=
3
a
3
×a
=a
3
a
cube root of 108 = \sqrt[3]{108} = 3\sqrt[3]{4}
3
108
=3
3
4
∴ cube root -108 a to the power 4 b cube = -3∛4a∛ab
In equation form:
\sqrt[3]{-108a^4b^3} = -\sqrt[3]{108a^4b^3}=-3\sqrt[3]{4}\sqrt[3]{a^4}\sqrt[3]{b^3}=-3\sqrt[3]{4}a\sqrt[3]{a}b
3
−108a
4
b
3
=−
3
108a
4
b
3
=−3
3
4
3
a
4
3
b
Step-by-step explanation:
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