Question

(2^5/2^8)×2^ minus5​

Answer 1

(2⁵ / 2⁸) × 2⁻⁵ = 1/256

Step-by-step explanation:

Now, (2⁵ / 2⁸) × 2⁻⁵

= (2⁵ × 2⁻⁸) × 2⁻⁵

= 2⁵⁻⁸ × 2⁻⁵

= 2⁻³ × 2⁻⁵

= 2⁻³⁻⁵

= 2⁻⁸

= 1/2⁸

= 1/256

Another method:

∴ (2⁵ / 2⁸) × 2⁻⁵

= 2⁵⁻⁸⁻⁵

= 2⁻⁸

= 1/2⁸

= 1/256

Laws of indices:

• aᵇ × aᶜ = aᵇ⁺ᶜ

• aᵇ / aᶜ = aᵇ⁻ᶜ

• aᶜ × bᶜ = (a × b)ᶜ

• (aᵇ)ᶜ = aᵇᶜ

Exponent table:

• 2⁰ = 1

• 2¹ = 2

• 2² = 4

• 2³ = 8

• 2⁴ = 16

• 2⁵ = 32

• 2⁶ = 64

• 2⁷ = 128

• 2⁸ = 256

• 2⁹ = 512

• 2¹⁰ = 1024

• 2¹¹ = 2048

• 2¹² = 4096

Note:

To solve this type of problems, use laws of indices to simplify the terms.

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