Question

Find the value of 27^1/3 × 4^1/2

Answer 1

Answer:

27^1/3 x 4^1/2

= 3√27 x √4

= 3 x 2

= 6

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Answer 2

Answer:

6

Step-by-step explanation:

$= > {(27)}^{ \frac{1}{3} } \times {(4)}^{ \frac{1}{2} } \\ \\ = > { {(3}^{3} )}^{ \frac{1}{3} } \times { {(2}^{2} )}^{ \frac{1}{2} } \\ \\ = > {(3)}^{ \frac{3}{3} } \times {2}^{ \frac{2}{2} } \\ \\ = > {3}^{1} \times {2}^{1} \\ \\ = > 3 \times 2 \\ \\ = > 6$

PROPERTIES OF EXPONENT

(1) Zero Exponent Rule

${n}^{0} = 1$

(2) Exponent of 1 Rule

${n}^{1} = n$

(3) Negative Exponents Rule

${n}^{ - x} = \frac{1}{ {n}^{x} }$

(4) Power Rule

${( {n}^{x} )}^{y} = {n}^{x.y}$

(5) Power Rule with Radicals

$\sqrt[y]{ {n}^{x} } = {n}^{ \frac{x}{y} }$

(6) Product Rules

${n}^{x} . {n}^{y} = {n}^{x + y} \\ \\ {m}^{x} . {n}^{x} = {(mn)}^{x}$

(7) Quotient Rule

$\frac{ {n}^{x} }{ {n}^{y} } = {n}^{x - y}$