Surds and Indices - Questions and Answers

1.

If 5^a = 3125, then the value of 5^{(a - 3)} is:

2.

(256)^0.16 x (256)^0.09 = ?

3.

If 3^{(x - y)} = 27 and 3^{(x + y)} = 243, then x is equal to:

4.

The value of [(10)¹⁵⁰ ÷ (10)¹⁴⁶]

5.

(25)^7.5 x (5)^2.5 ÷ (125)^1.5 = 5^?

6.

1	+	1	+	1	= ?
1 + x^{(b - a)} + x^{(c - a)}		1 + x^{(a - b)} + x^{(c - b)}		1 + x^{(b - c)} + x^{(a - c)}

7.

(0.04) ^-1.5 = ?

8.

Given that 10^0.48 = x, 10^0.70= y and x^z = y², then the value of z is close to:

9.

If		a		x - 1	=		b		x - 3	, then the value of x is:
		b					a

10.

If a and b are whole numbers such that a^b = 121, then find the value of (a – 1)^{b + 1}

General Questions