Surds and Indices Questions

• If 3(x - y) = 27 and 3(x + y) = 243, then x is equal to:
• (25)7.5 x (5)2.5 ÷ (125)1.5 = 5?
• ❨ xb ❩ (b + c - a) . ❨ xc ❩ (c + a - b) . ❨ xa ❩ (a + b - c) =? xc xa xb
• If m and n are whole numbers such that mn = 121, the value of (m - 1)n + 1 is:
• Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to:
• If ❨ a ❩ x - 1 = ❨ b ❩ x - 3 , then the value of x is: b a
• (243)n/5 x 32n + 1 =? 9n x 3n - 1
• 1 + 1 =? 1 + a(n - m) 1 + a(m - n)
• The value of [(10)150 ÷ (10)146]
• If 5a = 3125, then the value of 5(a - 3) is:
• 1 + 1 + 1 =? 1 + x(b - a) + x(c - a) 1 + x(a - b) + x(c - b) 1 + x(b - c) + x(a - c)
• (256)0.16 x (256)0.09 =?
• (0.04)-1.5 =?
• (17)3.5 x (17)? = 178
• If x = 3 + 2√2, then the value of ❨ √x - 1 ❩ is: √x
• Solve the below equation and find the value of ?. √(13)4 =?
• 163/2 + 16 -3/2 =?
• [(12)-2]2/[(12)2]-2 =?
• (16)9 ÷ (16)4 x (16)3 = (16)?
• [ (11)3 x (6)2] ÷ (4)3 =?