Question

Simplify: (1/x)^1/3 × x^7/2

Answer 1

Answer:

$\large\boxed{ \sf{{x}^{ \frac{19}{6} } }}$

Step-by-step explanation:

$\large{ \sf{{( \frac{1}{x} )}^{ \frac{1}{3} } \times {x}^{ \frac{7}{2} } }} \\ \\ \large{ \sf{= {x}^{ - \frac{1}{3} } \times {x}^{ \frac{7}{2} } }}\\ \\ \large{ \sf{ = {x}^{ - \frac{1}{3} + \frac{7}{2} } }} \\ \\ \large{ \sf{= {x}^{ \frac{21 - 2}{6} } }}\\ \\ \large{ \sf{= {x}^{ \frac{19}{6} } }}$

Concept Map :-

• $\sf{{x}^{ - n} = \dfrac{1}{ {x}^{n} }}$

• $\sf{{x}^{m} \times {x}^{n} = {x}^{m + n} }$

Answer 2

Answer:

X^19/6

Step-by-step explanation:

(1/x)^1/3=(x)^-1/3

So now according to question

(1/x)^1/3 × x^7/2

x^-1/3 × x^7/2

x^(-1/3+ 7/2). {X^m × X^n=X^(m+n)}

x^19/6 ans.