We need to calculate: the simplified form of (3sqrt[3]{a^{3}}(-5sqrt[4]{a^{3}}))

Sinead Mcgee 2021-02-06 Answered
We need to calculate: the simplified form of (3a33(5a34))
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Expert Answer

unett
Answered 2021-02-07 Author has 119 answers
Given:
(3a33(5a34))
Used formula:
For a real number a when m is even,
anm=|anm|
Calculation:
(3a33(5a34))
The radicals are like radicals and have the same radicand &same index. Reprouping the factors and applying the product property of radicals:
(3a33(5a34))=3 × (5)a3  a34
Apply property of exponents:
3 × (5)a3  a34 15a64
15a64=15a4  a24
= 15aa24
Rewrite the expression with rational exponent:
= 15aa24= 15a(a2)14
= 15aa2414= 15a  a2 × 14
= 15a  a12
= 15a  a12= 15a  a
= 15aa
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