Find the greatest four-digit number that is a perfect square.

Find the value of  $$a \times a^{3/2} \times a^2 \times a^{5/2} \times a^3 \times a^{7/2} \times a^4 \times a^{9/2} \times a^5$$​

$$(2025)^{2025} - (2025)^{2024}$$​ is NOT divisible by

The value of $$(625)^{-\frac{1}{2}}.$$​ is ___________.

The value of $$\left( 1 + (1 - 2)^{-1} + 2 - (1 - 2)^{-2} \right)^2$$​ is:

If $$\left( 3 + \frac{1}{\sqrt{3}} + \frac{1}{3+\sqrt{3}} + \frac{1}{\sqrt{3} - 3} \right) \div (3+\sqrt{6}) = a + b\sqrt{6}$$ then what is the value of 3a-2b?

if $$\left(\frac{32}{243}\right)^k = \frac{8}{27}$$, then k = ___________.​

Simplify:

​​​$$\left(\frac{1}{512}\right)^{\frac{-2}{3}} \div \left(\frac{1}{64}\right)^{\frac{-4}{3}}$$​​

Evaluate the given expressions.

​$$2^3 \times (-9)^0 \times 3^3$$​​

(√5 + √7)²is a: