Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Simplification

Question:

Fing the value of $\frac{5^{\frac{2}{3}}×\sqrt[3]{5^7}}{\sqrt[3]{5^6}}$

Options:

5

1

$\sqrt{5}$

$3\sqrt{5}$

Correct Answer:

5

Explanation:

$\frac{5^{\frac{2}{3}}×\sqrt[3]{5^7}}{\sqrt[3]{5^6}}$

= $\frac{5^{\frac{2}{3}}×5^{\frac{7}{3}}}{5^{\frac{6}{3}}}$

= \(\frac{5^\frac{9}{3}}{5^2}\)

= $\frac{5^3}{5^2}$

= 5(3 - 2)

= 5