Indices, Powers and Roots: แบบฝึกหัด

Find the value of \( \sqrt[3]{216} + 5^2 - \sqrt{49} \).

Find the value of \( \sqrt{144} - 2^3 + \sqrt[3]{27} \).

Simplify the expression \( (3x^2y^3)^3 \).

Evaluate \( \frac{2^5 \times 2^3}{2^4} \) and leave your answer in index form.

Calculate the value of \( 4^3 - \sqrt{81} + \sqrt[3]{125} \).

Evaluate the value of \( \sqrt{196} - \sqrt[3]{64} \).

Simplify the expression \( \frac{(2a^3)^4}{8a^5} \) and leave your answer in index form.

Express the number 1,000,000 as a power of 10.

Find the value of \( \sqrt{144} - \sqrt[3]{64} + 2^5 \).

Evaluate the following expression and give your answer in index form:
\( \frac{5^8 \times 5^3}{(5^2)^4} \)