Indices and Standard Form

Given aⁿ. What is a?

• index

• base

• power

• root

4 x 4 x 4 x 4 in index form is

• 4⁴

• 256

• 256⁴

• 4ⁿ

Convert 64 into number in index form

• 2⁶

• 8²

• 4³

• 3⁴

(2/3)³ =

• 8/27

• 6/9

• 8/9

• 6/27

5² x 5³ x 5 =

• 5⁶

• 5⁵

• 5^-1

Simplify 15m²n³ / 5mn

• 3mn²

• 3m³n⁴

• 5mn²

• 5m³n⁴

Simplify (5x³y⁴)²

• 25x⁶y⁸

• 25x⁵y⁶

• 5x⁶y⁸

• 5x⁵y⁶

State (a / b)^-7 in positive index form

• (b / a)⁷

• (a / b)⁷

• (1 / ab)⁷

• (ab / 7)

Given 2⁶ x 2^x = 8. Calculate the value of x

• -3

• 3

• 1/ 3

Choose the correct steps of solving

4^1/3 x 50^2/3 x 10^5/3

• (2 x 2)^1/3 x (2 x 5 x 5)^2/3 x (2 x 5)^5/3

• 2 ^{(1/3 + 1/3 + 2/3 + 5/3)} x 5 ^{(2/3 + 2/3 + 5/3)}

• (4)^1/3 x (10 x 5)^2/3 x (2 x 5)^5/3

• 2 ^{(1 + 1/3 + 1 + 1)} x 5 ^{(1 + 2/3 + 5/3)}