Question

Write the value of.3√125x27

Answer 1

By using these law of exponents : ⁿ√ a = a¹/ⁿ and aⁿ × bⁿ = (ab)ⁿ  ,  (a^m)ⁿ = a^mⁿ

Given : ³√125 x 27

 

To find :  The Value of ³√125 x 27

We have , ³√125 x 27

= ³√(5 × 5 × 5 x 3 × 3 × 3)

= ³√(5³ x 3³)

= ³√(5 x 3)³

= (5 x 3)³ × ¹/³

= (5 x 3)

= 15

Hence the value of  ³√125 x 27 is 15 .

HOPE THIS ANSWER WILL HELP YOU…..

 

Similar questions :

If x⁻² = 64, then x¹/³ + x⁰ =

A. 2

B. 3

C. 3/2

D. 2/3

https://brainly.in/question/15897161

 

If 3 ˣ⁻¹=9 and 4ʸ⁺² = 64, What is the value of .

https://brainly.in/question/15897145

Answer 2

Answer:

GIVEN THE TASK

$</p><p> = \sqrt[3]{125} \times 27 \\ = \sqrt[3]{ {5}^{3} \times {3}^{3} } \\ </p><p>= \sqrt[3]{ {(5 \times 3)}^{3} } \\ </p><p></p><p>= {(5 \times 3)}^{3} \times \frac{1}{3} \\ </p><p></p><p>= (5 \times 3) \\ </p><p></p><p>= 15</p><p></p><p>$