Question

What is this answer???

Answer 1

The answer is:
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a = "
`(13)/(4)` " ; or; write as: " 3
`(1)/(4)` " ;

→ or; write as: " 3.25 " .
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Step-by-step explanation:
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GIven: " x^{2} * \sqrt[4]{x^{5} } = x^{a} " ;

Solve for "a" ; using the "properties of exponents" .
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Note: " ⁴√(x⁵) =
`x^{ (5)/(4)}` " .
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Note that: " 2 =
`(8)/(4)` " .


`x^(2)` * tex] x^{ \frac{5}{4}} [/tex] =



`x^{2+ (5)/(4)} =x^{ (8)/(4)+(5)/(4) }=x^{ ((8+5))/(4)}` ;

→
`image` ;

↔ x^{a} [/tex] = x^{ \frac{13}{4} } ;

Solve for "a" ;

→ a = "
`(13)/(4)` " ; or; write as: " 3
`(1)/(4)` " ;

or; write as: " 3.25" .
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