Indices Form 3 KSSM

• x⁴
• x⁸
• x¹²
• x²⁰

Write 2 x 2 x 2 x 2 in index form

• 2³

• 2⁵

• 16

• 2⁴

Answer explanation

To write 2 x 2 x 2 x 2 in index form, count the number of 2s being multiplied. There are 4 twos, so it can be expressed as 2⁴. Therefore, the correct answer is 2⁴.

Simplify: χ³ ÷ χ²

• χ

• χ⁵

• χ⁶

• χ^-1

• 1/χ

Answer explanation

To simplify χ³ ÷ χ², subtract the exponents: 3 - 2 = 1. Thus, χ³ ÷ χ² = χ¹, which is simply χ. Therefore, the correct answer is χ.

Calculate 3a⁸ x 4a²

• 12a¹⁰

• 12a¹⁶

• 7a¹⁰

• 7a¹⁶

Answer explanation

To calculate 3a^8 x 4a^2, multiply the coefficients (3 x 4 = 12) and add the exponents of a (8 + 2 = 10). Thus, the result is 12a^10, which matches the correct answer.

2m⁵n³ ÷ 3m²n

• 2/3 m⁵n²

• 2/3 m³n²

• 6 m³n²

• 2/3 m²n3

Answer explanation

To simplify 2m^5n^3 ÷ 3m^2n, divide coefficients (2/3) and subtract exponents: m^(5-2) = m^3 and n^(3-1) = n^2. This gives 2/3 m^3n^2, which matches the correct answer.

Simplify 
3s⁴ x 2t² x s³

• 5st¹⁴

• 5s⁷t²

• 12 s⁷ t ²

• 6 s⁷ t²

Answer explanation

To simplify 3s^4 x 2t^2 x s^3, multiply coefficients (3 x 2 = 6) and add exponents of s (4 + 3 = 7). The result is 6s^7t^2, matching the correct answer: 6 s^7 t^2.

what is the base number?

Answer explanation

The base number refers to the number system's foundation. In this case, the correct answer is 0, as it represents the starting point in many numerical systems, including the decimal system.

What is the index number?

Answer explanation

The index number refers to the position in a list, starting from 0. Therefore, the correct answer is 0, as it is the first index in a zero-based indexing system.

Simplify:

• 5¹

• 5

• 5⁴

• 5⁵

Answer explanation

To simplify, we calculate 5^1 + 5^1 + 5^1 + 5^1, which is 4 * 5^1 = 4 * 5. This can be rewritten as 5^4, making the correct answer 5^4.

Simplify:

Answer explanation

To simplify, add the exponents: h^6 * h^2 = h^(6+2) = h^8. Thus, the correct answer is h^8.